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Finding the Fourth Proportional to 230,456.52, 318,031.47 and 128,488.50

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Solution

The fourth proportional to 230,456.52, 318,031.47 and 128,488.50 is: 177,314.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,456.52 : 318,031.47 = 128,488.50 : x
  2. Step 2: Convert to fraction form
    230,456.52/318,031.47 = 128,488.50/x
  3. Step 3: Cross multiply
    230,456.52x = 318,031.47 × 128,488.50
  4. Step 4: Simplify right side
    230,456.52x = 40,863,386,533.10
  5. Step 5: Solve for x
    x = 40,863,386,533.10/230,456.52
  6. Step 6: Final answer
    x = 177,314.95

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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.