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Finding the Fourth Proportional to 413,468.47, 619,809.03 and 132,788.89

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Solution

The fourth proportional to 413,468.47, 619,809.03 and 132,788.89 is: 199,056.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,468.47 : 619,809.03 = 132,788.89 : x
  2. Step 2: Convert to fraction form
    413,468.47/619,809.03 = 132,788.89/x
  3. Step 3: Cross multiply
    413,468.47x = 619,809.03 × 132,788.89
  4. Step 4: Simplify right side
    413,468.47x = 82,303,753,105.68
  5. Step 5: Solve for x
    x = 82,303,753,105.68/413,468.47
  6. Step 6: Final answer
    x = 199,056.90

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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.