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Finding the Fourth Proportional to 519,151, 716,428.40 and 280,687

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Solution

The fourth proportional to 519,151, 716,428.40 and 280,687 is: 387,348.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,151 : 716,428.40 = 280,687 : x
  2. Step 2: Convert to fraction form
    519,151/716,428.40 = 280,687/x
  3. Step 3: Cross multiply
    519,151x = 716,428.40 × 280,687
  4. Step 4: Simplify right side
    519,151x = 201,092,138,310.80
  5. Step 5: Solve for x
    x = 201,092,138,310.80/519,151
  6. Step 6: Final answer
    x = 387,348.07

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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.