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Finding the Fourth Proportional to 542,170.28, 813,186.02 and 142,841.90

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Solution

The fourth proportional to 542,170.28, 813,186.02 and 142,841.90 is: 214,244.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,170.28 : 813,186.02 = 142,841.90 : x
  2. Step 2: Convert to fraction form
    542,170.28/813,186.02 = 142,841.90/x
  3. Step 3: Cross multiply
    542,170.28x = 813,186.02 × 142,841.90
  4. Step 4: Simplify right side
    542,170.28x = 116,157,036,150.24
  5. Step 5: Solve for x
    x = 116,157,036,150.24/542,170.28
  6. Step 6: Final answer
    x = 214,244.57

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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.