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Finding the Fourth Proportional to 518,696,863.84, 715,799,532.12 and 280,542,314.21

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Solution

The fourth proportional to 518,696,863.84, 715,799,532.12 and 280,542,314.21 is: 387,147,236.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,696,863.84 : 715,799,532.12 = 280,542,314.21 : x
  2. Step 2: Convert to fraction form
    518,696,863.84/715,799,532.12 = 280,542,314.21/x
  3. Step 3: Cross multiply
    518,696,863.84x = 715,799,532.12 × 280,542,314.21
  4. Step 4: Simplify right side
    518,696,863.84x = 200,812,057,252,117,472
  5. Step 5: Solve for x
    x = 200,812,057,252,117,472/518,696,863.84
  6. Step 6: Final answer
    x = 387,147,236.18

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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.