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Finding the Fourth Proportional to 472,129.20, 708,193.80 and 304,167.60

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Solution

The fourth proportional to 472,129.20, 708,193.80 and 304,167.60 is: 456,251.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,129.20 : 708,193.80 = 304,167.60 : x
  2. Step 2: Convert to fraction form
    472,129.20/708,193.80 = 304,167.60/x
  3. Step 3: Cross multiply
    472,129.20x = 708,193.80 × 304,167.60
  4. Step 4: Simplify right side
    472,129.20x = 215,409,608,480.88
  5. Step 5: Solve for x
    x = 215,409,608,480.88/472,129.20
  6. Step 6: Final answer
    x = 456,251.40

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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.