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Finding the Fourth Proportional to 1,383,849,972.94, 1,909,711,728.89 and 781,147,457.73

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Solution

The fourth proportional to 1,383,849,972.94, 1,909,711,728.89 and 781,147,457.73 is: 1,077,982,795.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383,849,972.94 : 1,909,711,728.89 = 781,147,457.73 : x
  2. Step 2: Convert to fraction form
    1,383,849,972.94/1,909,711,728.89 = 781,147,457.73/x
  3. Step 3: Cross multiply
    1,383,849,972.94x = 1,909,711,728.89 × 781,147,457.73
  4. Step 4: Simplify right side
    1,383,849,972.94x = 1,491,766,462,019,586,560
  5. Step 5: Solve for x
    x = 1,491,766,462,019,586,560/1,383,849,972.94
  6. Step 6: Final answer
    x = 1,077,982,795.24

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.