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Finding the Fourth Proportional to 305,461, 458,200.14 and 83,845

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Solution

The fourth proportional to 305,461, 458,200.14 and 83,845 is: 125,769.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,461 : 458,200.14 = 83,845 : x
  2. Step 2: Convert to fraction form
    305,461/458,200.14 = 83,845/x
  3. Step 3: Cross multiply
    305,461x = 458,200.14 × 83,845
  4. Step 4: Simplify right side
    305,461x = 38,417,790,738.30
  5. Step 5: Solve for x
    x = 38,417,790,738.30/305,461
  6. Step 6: Final answer
    x = 125,769.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.