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Finding the Fourth Proportional to 435,456.81, 653,188.46 and 119,931.03

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Solution

The fourth proportional to 435,456.81, 653,188.46 and 119,931.03 is: 179,897.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,456.81 : 653,188.46 = 119,931.03 : x
  2. Step 2: Convert to fraction form
    435,456.81/653,188.46 = 119,931.03/x
  3. Step 3: Cross multiply
    435,456.81x = 653,188.46 × 119,931.03
  4. Step 4: Simplify right side
    435,456.81x = 78,337,564,791.91
  5. Step 5: Solve for x
    x = 78,337,564,791.91/435,456.81
  6. Step 6: Final answer
    x = 179,897.44

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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.