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Finding the Fourth Proportional to 474,455.21, 711,719.33 and 137,500.47

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Solution

The fourth proportional to 474,455.21, 711,719.33 and 137,500.47 is: 206,261.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,455.21 : 711,719.33 = 137,500.47 : x
  2. Step 2: Convert to fraction form
    474,455.21/711,719.33 = 137,500.47/x
  3. Step 3: Cross multiply
    474,455.21x = 711,719.33 × 137,500.47
  4. Step 4: Simplify right side
    474,455.21x = 97,861,741,695.58
  5. Step 5: Solve for x
    x = 97,861,741,695.58/474,455.21
  6. Step 6: Final answer
    x = 206,261.29

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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.