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Finding the Fourth Proportional to 266,027.88, 398,406.24 and 147,405

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Solution

The fourth proportional to 266,027.88, 398,406.24 and 147,405 is: 220,755.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,027.88 : 398,406.24 = 147,405 : x
  2. Step 2: Convert to fraction form
    266,027.88/398,406.24 = 147,405/x
  3. Step 3: Cross multiply
    266,027.88x = 398,406.24 × 147,405
  4. Step 4: Simplify right side
    266,027.88x = 58,727,071,807.20
  5. Step 5: Solve for x
    x = 58,727,071,807.20/266,027.88
  6. Step 6: Final answer
    x = 220,755.33

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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.