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Finding the Fourth Proportional to 228,371.24, 342,948.90 and 140,142.80

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Solution

The fourth proportional to 228,371.24, 342,948.90 and 140,142.80 is: 210,454.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,371.24 : 342,948.90 = 140,142.80 : x
  2. Step 2: Convert to fraction form
    228,371.24/342,948.90 = 140,142.80/x
  3. Step 3: Cross multiply
    228,371.24x = 342,948.90 × 140,142.80
  4. Step 4: Simplify right side
    228,371.24x = 48,061,819,102.92
  5. Step 5: Solve for x
    x = 48,061,819,102.92/228,371.24
  6. Step 6: Final answer
    x = 210,454.78

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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.