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Finding the Fourth Proportional to 514,887.92, 710,587.29 and 285,517.13

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Solution

The fourth proportional to 514,887.92, 710,587.29 and 285,517.13 is: 394,036.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,887.92 : 710,587.29 = 285,517.13 : x
  2. Step 2: Convert to fraction form
    514,887.92/710,587.29 = 285,517.13/x
  3. Step 3: Cross multiply
    514,887.92x = 710,587.29 × 285,517.13
  4. Step 4: Simplify right side
    514,887.92x = 202,884,845,431.75
  5. Step 5: Solve for x
    x = 202,884,845,431.75/514,887.92
  6. Step 6: Final answer
    x = 394,036.91

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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.