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Finding the Fourth Proportional to 279,123.72, 418,724.46 and 101,597.64

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Solution

The fourth proportional to 279,123.72, 418,724.46 and 101,597.64 is: 152,410.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,123.72 : 418,724.46 = 101,597.64 : x
  2. Step 2: Convert to fraction form
    279,123.72/418,724.46 = 101,597.64/x
  3. Step 3: Cross multiply
    279,123.72x = 418,724.46 × 101,597.64
  4. Step 4: Simplify right side
    279,123.72x = 42,541,416,946.27
  5. Step 5: Solve for x
    x = 42,541,416,946.27/279,123.72
  6. Step 6: Final answer
    x = 152,410.61

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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.