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Finding the Fourth Proportional to 243,841.20, 365,761.80 and 212,737.20

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Solution

The fourth proportional to 243,841.20, 365,761.80 and 212,737.20 is: 319,105.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,841.20 : 365,761.80 = 212,737.20 : x
  2. Step 2: Convert to fraction form
    243,841.20/365,761.80 = 212,737.20/x
  3. Step 3: Cross multiply
    243,841.20x = 365,761.80 × 212,737.20
  4. Step 4: Simplify right side
    243,841.20x = 77,811,141,198.96
  5. Step 5: Solve for x
    x = 77,811,141,198.96/243,841.20
  6. Step 6: Final answer
    x = 319,105.80

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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.