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Finding the Fourth Proportional to 427,785.91, 642,309.65 and 238,615.88

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Solution

The fourth proportional to 427,785.91, 642,309.65 and 238,615.88 is: 358,275.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,785.91 : 642,309.65 = 238,615.88 : x
  2. Step 2: Convert to fraction form
    427,785.91/642,309.65 = 238,615.88/x
  3. Step 3: Cross multiply
    427,785.91x = 642,309.65 × 238,615.88
  4. Step 4: Simplify right side
    427,785.91x = 153,265,278,857.42
  5. Step 5: Solve for x
    x = 153,265,278,857.42/427,785.91
  6. Step 6: Final answer
    x = 358,275.66

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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.