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Finding the Fourth Proportional to 266,326.92, 398,714 and 139,666.82

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Solution

The fourth proportional to 266,326.92, 398,714 and 139,666.82 is: 209,093.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,326.92 : 398,714 = 139,666.82 : x
  2. Step 2: Convert to fraction form
    266,326.92/398,714 = 139,666.82/x
  3. Step 3: Cross multiply
    266,326.92x = 398,714 × 139,666.82
  4. Step 4: Simplify right side
    266,326.92x = 55,687,116,469.48
  5. Step 5: Solve for x
    x = 55,687,116,469.48/266,326.92
  6. Step 6: Final answer
    x = 209,093.08

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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.