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Finding the Fourth Proportional to 499,595.78, 748,729.34 and 432,722.78

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Solution

The fourth proportional to 499,595.78, 748,729.34 and 432,722.78 is: 648,508.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,595.78 : 748,729.34 = 432,722.78 : x
  2. Step 2: Convert to fraction form
    499,595.78/748,729.34 = 432,722.78/x
  3. Step 3: Cross multiply
    499,595.78x = 748,729.34 × 432,722.78
  4. Step 4: Simplify right side
    499,595.78x = 323,992,239,308.75
  5. Step 5: Solve for x
    x = 323,992,239,308.75/499,595.78
  6. Step 6: Final answer
    x = 648,508.76

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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.