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Finding the Fourth Proportional to 429,951.12, 645,185.88 and 149,665.20

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Solution

The fourth proportional to 429,951.12, 645,185.88 and 149,665.20 is: 224,588.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,951.12 : 645,185.88 = 149,665.20 : x
  2. Step 2: Convert to fraction form
    429,951.12/645,185.88 = 149,665.20/x
  3. Step 3: Cross multiply
    429,951.12x = 645,185.88 × 149,665.20
  4. Step 4: Simplify right side
    429,951.12x = 96,561,873,767.38
  5. Step 5: Solve for x
    x = 96,561,873,767.38/429,951.12
  6. Step 6: Final answer
    x = 224,588.03

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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.