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Finding the Fourth Proportional to 266,201.80, 399,302.70 and 171,723.40

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Solution

The fourth proportional to 266,201.80, 399,302.70 and 171,723.40 is: 257,585.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,201.80 : 399,302.70 = 171,723.40 : x
  2. Step 2: Convert to fraction form
    266,201.80/399,302.70 = 171,723.40/x
  3. Step 3: Cross multiply
    266,201.80x = 399,302.70 × 171,723.40
  4. Step 4: Simplify right side
    266,201.80x = 68,569,617,273.18
  5. Step 5: Solve for x
    x = 68,569,617,273.18/266,201.80
  6. Step 6: Final answer
    x = 257,585.10

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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.