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Finding the Fourth Proportional to 243,769.20, 365,653.80 and 212,665.20

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Solution

The fourth proportional to 243,769.20, 365,653.80 and 212,665.20 is: 318,997.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,769.20 : 365,653.80 = 212,665.20 : x
  2. Step 2: Convert to fraction form
    243,769.20/365,653.80 = 212,665.20/x
  3. Step 3: Cross multiply
    243,769.20x = 365,653.80 × 212,665.20
  4. Step 4: Simplify right side
    243,769.20x = 77,761,838,507.76
  5. Step 5: Solve for x
    x = 77,761,838,507.76/243,769.20
  6. Step 6: Final answer
    x = 318,997.80

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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.