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Finding the Fourth Proportional to 521,083.80, 719,108.55 and 291,639.15

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Solution

The fourth proportional to 521,083.80, 719,108.55 and 291,639.15 is: 402,469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,083.80 : 719,108.55 = 291,639.15 : x
  2. Step 2: Convert to fraction form
    521,083.80/719,108.55 = 291,639.15/x
  3. Step 3: Cross multiply
    521,083.80x = 719,108.55 × 291,639.15
  4. Step 4: Simplify right side
    521,083.80x = 209,720,206,279.73
  5. Step 5: Solve for x
    x = 209,720,206,279.73/521,083.80
  6. Step 6: Final answer
    x = 402,469.25

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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.