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Finding the Fourth Proportional to 499,792.72, 748,497.32 and 319,310.38

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Solution

The fourth proportional to 499,792.72, 748,497.32 and 319,310.38 is: 478,204.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,792.72 : 748,497.32 = 319,310.38 : x
  2. Step 2: Convert to fraction form
    499,792.72/748,497.32 = 319,310.38/x
  3. Step 3: Cross multiply
    499,792.72x = 748,497.32 × 319,310.38
  4. Step 4: Simplify right side
    499,792.72x = 239,002,961,800.49
  5. Step 5: Solve for x
    x = 239,002,961,800.49/499,792.72
  6. Step 6: Final answer
    x = 478,204.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.