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Finding the Fourth Proportional to 499,278.20, 748,139.70 and 432,404.60

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Solution

The fourth proportional to 499,278.20, 748,139.70 and 432,404.60 is: 647,933.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,278.20 : 748,139.70 = 432,404.60 : x
  2. Step 2: Convert to fraction form
    499,278.20/748,139.70 = 432,404.60/x
  3. Step 3: Cross multiply
    499,278.20x = 748,139.70 × 432,404.60
  4. Step 4: Simplify right side
    499,278.20x = 323,499,047,722.62
  5. Step 5: Solve for x
    x = 323,499,047,722.62/499,278.20
  6. Step 6: Final answer
    x = 647,933.45

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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.