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Finding the Fourth Proportional to 239,000.64, 329,684.22 and 149,421.12

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Solution

The fourth proportional to 239,000.64, 329,684.22 and 149,421.12 is: 206,115.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,000.64 : 329,684.22 = 149,421.12 : x
  2. Step 2: Convert to fraction form
    239,000.64/329,684.22 = 149,421.12/x
  3. Step 3: Cross multiply
    239,000.64x = 329,684.22 × 149,421.12
  4. Step 4: Simplify right side
    239,000.64x = 49,261,785,398.73
  5. Step 5: Solve for x
    x = 49,261,785,398.73/239,000.64
  6. Step 6: Final answer
    x = 206,115.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.