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Finding the Fourth Proportional to 478,306.87, 717,416.56 and 145,882.87

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Solution

The fourth proportional to 478,306.87, 717,416.56 and 145,882.87 is: 218,810.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,306.87 : 717,416.56 = 145,882.87 : x
  2. Step 2: Convert to fraction form
    478,306.87/717,416.56 = 145,882.87/x
  3. Step 3: Cross multiply
    478,306.87x = 717,416.56 × 145,882.87
  4. Step 4: Simplify right side
    478,306.87x = 104,658,786,758.33
  5. Step 5: Solve for x
    x = 104,658,786,758.33/478,306.87
  6. Step 6: Final answer
    x = 218,810.96

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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.