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Finding the Fourth Proportional to 391,059.80, 585,207.30 and 266,643.80

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Solution

The fourth proportional to 391,059.80, 585,207.30 and 266,643.80 is: 399,023.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,059.80 : 585,207.30 = 266,643.80 : x
  2. Step 2: Convert to fraction form
    391,059.80/585,207.30 = 266,643.80/x
  3. Step 3: Cross multiply
    391,059.80x = 585,207.30 × 266,643.80
  4. Step 4: Simplify right side
    391,059.80x = 156,041,898,259.74
  5. Step 5: Solve for x
    x = 156,041,898,259.74/391,059.80
  6. Step 6: Final answer
    x = 399,023.11

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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.