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Finding the Fourth Proportional to 228,387.24, 342,972.90 and 140,158.80

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Solution

The fourth proportional to 228,387.24, 342,972.90 and 140,158.80 is: 210,478.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,387.24 : 342,972.90 = 140,158.80 : x
  2. Step 2: Convert to fraction form
    228,387.24/342,972.90 = 140,158.80/x
  3. Step 3: Cross multiply
    228,387.24x = 342,972.90 × 140,158.80
  4. Step 4: Simplify right side
    228,387.24x = 48,070,670,096.52
  5. Step 5: Solve for x
    x = 48,070,670,096.52/228,387.24
  6. Step 6: Final answer
    x = 210,478.79

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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.