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Finding the Fourth Proportional to 499,404.96, 749,129.31 and 144,454.86

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Solution

The fourth proportional to 499,404.96, 749,129.31 and 144,454.86 is: 216,688.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,404.96 : 749,129.31 = 144,454.86 : x
  2. Step 2: Convert to fraction form
    499,404.96/749,129.31 = 144,454.86/x
  3. Step 3: Cross multiply
    499,404.96x = 749,129.31 × 144,454.86
  4. Step 4: Simplify right side
    499,404.96x = 108,215,369,597.95
  5. Step 5: Solve for x
    x = 108,215,369,597.95/499,404.96
  6. Step 6: Final answer
    x = 216,688.62

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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.