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Finding the Fourth Proportional to 391,059.30, 585,206.55 and 266,643.30

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Solution

The fourth proportional to 391,059.30, 585,206.55 and 266,643.30 is: 399,022.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,059.30 : 585,206.55 = 266,643.30 : x
  2. Step 2: Convert to fraction form
    391,059.30/585,206.55 = 266,643.30/x
  3. Step 3: Cross multiply
    391,059.30x = 585,206.55 × 266,643.30
  4. Step 4: Simplify right side
    391,059.30x = 156,041,405,673.62
  5. Step 5: Solve for x
    x = 156,041,405,673.62/391,059.30
  6. Step 6: Final answer
    x = 399,022.36

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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.