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Finding the Fourth Proportional to 392,221.74, 587,815.74 and 155,435.34

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Solution

The fourth proportional to 392,221.74, 587,815.74 and 155,435.34 is: 232,948.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,221.74 : 587,815.74 = 155,435.34 : x
  2. Step 2: Convert to fraction form
    392,221.74/587,815.74 = 155,435.34/x
  3. Step 3: Cross multiply
    392,221.74x = 587,815.74 × 155,435.34
  4. Step 4: Simplify right side
    392,221.74x = 91,367,339,404.25
  5. Step 5: Solve for x
    x = 91,367,339,404.25/392,221.74
  6. Step 6: Final answer
    x = 232,948.18

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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.