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Finding the Fourth Proportional to 387,193.59, 580,702.79 and 147,221.89

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Solution

The fourth proportional to 387,193.59, 580,702.79 and 147,221.89 is: 220,799.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,193.59 : 580,702.79 = 147,221.89 : x
  2. Step 2: Convert to fraction form
    387,193.59/580,702.79 = 147,221.89/x
  3. Step 3: Cross multiply
    387,193.59x = 580,702.79 × 147,221.89
  4. Step 4: Simplify right side
    387,193.59x = 85,492,161,188.37
  5. Step 5: Solve for x
    x = 85,492,161,188.37/387,193.59
  6. Step 6: Final answer
    x = 220,799.53

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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.