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Finding the Fourth Proportional to 266,405.83, 399,264.29 and 199,319.60

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Solution

The fourth proportional to 266,405.83, 399,264.29 and 199,319.60 is: 298,721.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,405.83 : 399,264.29 = 199,319.60 : x
  2. Step 2: Convert to fraction form
    266,405.83/399,264.29 = 199,319.60/x
  3. Step 3: Cross multiply
    266,405.83x = 399,264.29 × 199,319.60
  4. Step 4: Simplify right side
    266,405.83x = 79,581,198,577.08
  5. Step 5: Solve for x
    x = 79,581,198,577.08/266,405.83
  6. Step 6: Final answer
    x = 298,721.69

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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.