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Finding the Fourth Proportional to 499,593.77, 748,726.34 and 432,720.78

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Solution

The fourth proportional to 499,593.77, 748,726.34 and 432,720.78 is: 648,505.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,593.77 : 748,726.34 = 432,720.78 : x
  2. Step 2: Convert to fraction form
    499,593.77/748,726.34 = 432,720.78/x
  3. Step 3: Cross multiply
    499,593.77x = 748,726.34 × 432,720.78
  4. Step 4: Simplify right side
    499,593.77x = 323,989,445,091.60
  5. Step 5: Solve for x
    x = 323,989,445,091.60/499,593.77
  6. Step 6: Final answer
    x = 648,505.77

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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.