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Finding the Fourth Proportional to 429,758.25, 644,565.88 and 130,167.60

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Solution

The fourth proportional to 429,758.25, 644,565.88 and 130,167.60 is: 195,229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,758.25 : 644,565.88 = 130,167.60 : x
  2. Step 2: Convert to fraction form
    429,758.25/644,565.88 = 130,167.60/x
  3. Step 3: Cross multiply
    429,758.25x = 644,565.88 × 130,167.60
  4. Step 4: Simplify right side
    429,758.25x = 83,901,593,641.49
  5. Step 5: Solve for x
    x = 83,901,593,641.49/429,758.25
  6. Step 6: Final answer
    x = 195,229.75

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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.