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Finding the Fourth Proportional to 389,885.61, 584,849.07 and 109,424.73

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Solution

The fourth proportional to 389,885.61, 584,849.07 and 109,424.73 is: 164,142.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,885.61 : 584,849.07 = 109,424.73 : x
  2. Step 2: Convert to fraction form
    389,885.61/584,849.07 = 109,424.73/x
  3. Step 3: Cross multiply
    389,885.61x = 584,849.07 × 109,424.73
  4. Step 4: Simplify right side
    389,885.61x = 63,996,951,575.50
  5. Step 5: Solve for x
    x = 63,996,951,575.50/389,885.61
  6. Step 6: Final answer
    x = 164,142.89

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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.