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Finding the Fourth Proportional to 399,275.76, 598,785.12 and 132,964.77

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Solution

The fourth proportional to 399,275.76, 598,785.12 and 132,964.77 is: 199,404.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,275.76 : 598,785.12 = 132,964.77 : x
  2. Step 2: Convert to fraction form
    399,275.76/598,785.12 = 132,964.77/x
  3. Step 3: Cross multiply
    399,275.76x = 598,785.12 × 132,964.77
  4. Step 4: Simplify right side
    399,275.76x = 79,617,325,760.22
  5. Step 5: Solve for x
    x = 79,617,325,760.22/399,275.76
  6. Step 6: Final answer
    x = 199,404.36

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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.