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Finding the Fourth Proportional to 266,429, 399,840.76 and 126,188.04

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Solution

The fourth proportional to 266,429, 399,840.76 and 126,188.04 is: 189,375.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,429 : 399,840.76 = 126,188.04 : x
  2. Step 2: Convert to fraction form
    266,429/399,840.76 = 126,188.04/x
  3. Step 3: Cross multiply
    266,429x = 399,840.76 × 126,188.04
  4. Step 4: Simplify right side
    266,429x = 50,455,121,816.51
  5. Step 5: Solve for x
    x = 50,455,121,816.51/266,429
  6. Step 6: Final answer
    x = 189,375.49

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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.