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Finding the Fourth Proportional to 266,464.93, 399,760.31 and 86,549.80

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Solution

The fourth proportional to 266,464.93, 399,760.31 and 86,549.80 is: 129,845.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,464.93 : 399,760.31 = 86,549.80 : x
  2. Step 2: Convert to fraction form
    266,464.93/399,760.31 = 86,549.80/x
  3. Step 3: Cross multiply
    266,464.93x = 399,760.31 × 86,549.80
  4. Step 4: Simplify right side
    266,464.93x = 34,599,174,878.44
  5. Step 5: Solve for x
    x = 34,599,174,878.44/266,464.93
  6. Step 6: Final answer
    x = 129,845.14

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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.