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Finding the Fourth Proportional to 499,792.86, 749,689.29 and 144,807.12

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Solution

The fourth proportional to 499,792.86, 749,689.29 and 144,807.12 is: 217,210.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,792.86 : 749,689.29 = 144,807.12 : x
  2. Step 2: Convert to fraction form
    499,792.86/749,689.29 = 144,807.12/x
  3. Step 3: Cross multiply
    499,792.86x = 749,689.29 × 144,807.12
  4. Step 4: Simplify right side
    499,792.86x = 108,560,346,979.75
  5. Step 5: Solve for x
    x = 108,560,346,979.75/499,792.86
  6. Step 6: Final answer
    x = 217,210.68

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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.