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Finding the Fourth Proportional to 474,456.21, 711,720.83 and 137,501.47

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Solution

The fourth proportional to 474,456.21, 711,720.83 and 137,501.47 is: 206,262.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,456.21 : 711,720.83 = 137,501.47 : x
  2. Step 2: Convert to fraction form
    474,456.21/711,720.83 = 137,501.47/x
  3. Step 3: Cross multiply
    474,456.21x = 711,720.83 × 137,501.47
  4. Step 4: Simplify right side
    474,456.21x = 97,862,660,354.62
  5. Step 5: Solve for x
    x = 97,862,660,354.62/474,456.21
  6. Step 6: Final answer
    x = 206,262.79

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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.