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Finding the Fourth Proportional to 542,722.42, 814,122.60 and 143,359.30

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Solution

The fourth proportional to 542,722.42, 814,122.60 and 143,359.30 is: 215,049.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,722.42 : 814,122.60 = 143,359.30 : x
  2. Step 2: Convert to fraction form
    542,722.42/814,122.60 = 143,359.30/x
  3. Step 3: Cross multiply
    542,722.42x = 814,122.60 × 143,359.30
  4. Step 4: Simplify right side
    542,722.42x = 116,712,046,050.18
  5. Step 5: Solve for x
    x = 116,712,046,050.18/542,722.42
  6. Step 6: Final answer
    x = 215,049.24

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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.