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Finding the Fourth Proportional to 398,437.91, 597,651.30 and 227,294.42

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Solution

The fourth proportional to 398,437.91, 597,651.30 and 227,294.42 is: 340,938.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,437.91 : 597,651.30 = 227,294.42 : x
  2. Step 2: Convert to fraction form
    398,437.91/597,651.30 = 227,294.42/x
  3. Step 3: Cross multiply
    398,437.91x = 597,651.30 × 227,294.42
  4. Step 4: Simplify right side
    398,437.91x = 135,842,802,607.49
  5. Step 5: Solve for x
    x = 135,842,802,607.49/398,437.91
  6. Step 6: Final answer
    x = 340,938.45

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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.