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Finding the Fourth Proportional to 266,114.60, 398,634.30 and 165,967.40

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Solution

The fourth proportional to 266,114.60, 398,634.30 and 165,967.40 is: 248,615.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,114.60 : 398,634.30 = 165,967.40 : x
  2. Step 2: Convert to fraction form
    266,114.60/398,634.30 = 165,967.40/x
  3. Step 3: Cross multiply
    266,114.60x = 398,634.30 × 165,967.40
  4. Step 4: Simplify right side
    266,114.60x = 66,160,298,321.82
  5. Step 5: Solve for x
    x = 66,160,298,321.82/266,114.60
  6. Step 6: Final answer
    x = 248,615.82

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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.