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Finding the Fourth Proportional to 469,687, 648,169.68 and 254,828.02

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Solution

The fourth proportional to 469,687, 648,169.68 and 254,828.02 is: 351,663.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,687 : 648,169.68 = 254,828.02 : x
  2. Step 2: Convert to fraction form
    469,687/648,169.68 = 254,828.02/x
  3. Step 3: Cross multiply
    469,687x = 648,169.68 × 254,828.02
  4. Step 4: Simplify right side
    469,687x = 165,171,796,178.43
  5. Step 5: Solve for x
    x = 165,171,796,178.43/469,687
  6. Step 6: Final answer
    x = 351,663.55

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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.