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Finding the Fourth Proportional to 266,914.68, 400,434.30 and 77,379

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Solution

The fourth proportional to 266,914.68, 400,434.30 and 77,379 is: 116,086.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,914.68 : 400,434.30 = 77,379 : x
  2. Step 2: Convert to fraction form
    266,914.68/400,434.30 = 77,379/x
  3. Step 3: Cross multiply
    266,914.68x = 400,434.30 × 77,379
  4. Step 4: Simplify right side
    266,914.68x = 30,985,205,699.70
  5. Step 5: Solve for x
    x = 30,985,205,699.70/266,914.68
  6. Step 6: Final answer
    x = 116,086.56

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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.