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Finding the Fourth Proportional to 542,721.42, 814,121.10 and 143,358.30

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Solution

The fourth proportional to 542,721.42, 814,121.10 and 143,358.30 is: 215,047.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,721.42 : 814,121.10 = 143,358.30 : x
  2. Step 2: Convert to fraction form
    542,721.42/814,121.10 = 143,358.30/x
  3. Step 3: Cross multiply
    542,721.42x = 814,121.10 × 143,358.30
  4. Step 4: Simplify right side
    542,721.42x = 116,711,016,890.13
  5. Step 5: Solve for x
    x = 116,711,016,890.13/542,721.42
  6. Step 6: Final answer
    x = 215,047.74

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1.5x scale

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.