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Finding the Fourth Proportional to 398,058.66, 597,129.90 and 229,575.20

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Solution

The fourth proportional to 398,058.66, 597,129.90 and 229,575.20 is: 344,386.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,058.66 : 597,129.90 = 229,575.20 : x
  2. Step 2: Convert to fraction form
    398,058.66/597,129.90 = 229,575.20/x
  3. Step 3: Cross multiply
    398,058.66x = 597,129.90 × 229,575.20
  4. Step 4: Simplify right side
    398,058.66x = 137,086,216,218.48
  5. Step 5: Solve for x
    x = 137,086,216,218.48/398,058.66
  6. Step 6: Final answer
    x = 344,386.97

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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.