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Finding the Fourth Proportional to 490,468.76, 735,306.30 and 153,335.96

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Solution

The fourth proportional to 490,468.76, 735,306.30 and 153,335.96 is: 229,879.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,468.76 : 735,306.30 = 153,335.96 : x
  2. Step 2: Convert to fraction form
    490,468.76/735,306.30 = 153,335.96/x
  3. Step 3: Cross multiply
    490,468.76x = 735,306.30 × 153,335.96
  4. Step 4: Simplify right side
    490,468.76x = 112,748,897,404.55
  5. Step 5: Solve for x
    x = 112,748,897,404.55/490,468.76
  6. Step 6: Final answer
    x = 229,879.88

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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.