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Finding the Fourth Proportional to 310,823.60, 465,618.11 and 239,498.78

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Solution

The fourth proportional to 310,823.60, 465,618.11 and 239,498.78 is: 358,772.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,823.60 : 465,618.11 = 239,498.78 : x
  2. Step 2: Convert to fraction form
    310,823.60/465,618.11 = 239,498.78/x
  3. Step 3: Cross multiply
    310,823.60x = 465,618.11 × 239,498.78
  4. Step 4: Simplify right side
    310,823.60x = 111,514,965,765.32
  5. Step 5: Solve for x
    x = 111,514,965,765.32/310,823.60
  6. Step 6: Final answer
    x = 358,772.52

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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.