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Finding the Fourth Proportional to 266,498.62, 399,634.14 and 154,256.31

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Solution

The fourth proportional to 266,498.62, 399,634.14 and 154,256.31 is: 231,318.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,498.62 : 399,634.14 = 154,256.31 : x
  2. Step 2: Convert to fraction form
    266,498.62/399,634.14 = 154,256.31/x
  3. Step 3: Cross multiply
    266,498.62x = 399,634.14 × 154,256.31
  4. Step 4: Simplify right side
    266,498.62x = 61,646,089,730.38
  5. Step 5: Solve for x
    x = 61,646,089,730.38/266,498.62
  6. Step 6: Final answer
    x = 231,318.61

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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.