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Finding the Fourth Proportional to 665,343.16, 998,760.78 and 266,262.10

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Solution

The fourth proportional to 665,343.16, 998,760.78 and 266,262.10 is: 399,691.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,343.16 : 998,760.78 = 266,262.10 : x
  2. Step 2: Convert to fraction form
    665,343.16/998,760.78 = 266,262.10/x
  3. Step 3: Cross multiply
    665,343.16x = 998,760.78 × 266,262.10
  4. Step 4: Simplify right side
    665,343.16x = 265,932,142,680.44
  5. Step 5: Solve for x
    x = 265,932,142,680.44/665,343.16
  6. Step 6: Final answer
    x = 399,691.71

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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.