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Finding the Fourth Proportional to 342,790.12, 514,382.06 and 267,699.47

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Solution

The fourth proportional to 342,790.12, 514,382.06 and 267,699.47 is: 401,702.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,790.12 : 514,382.06 = 267,699.47 : x
  2. Step 2: Convert to fraction form
    342,790.12/514,382.06 = 267,699.47/x
  3. Step 3: Cross multiply
    342,790.12x = 514,382.06 × 267,699.47
  4. Step 4: Simplify right side
    342,790.12x = 137,699,806,460.09
  5. Step 5: Solve for x
    x = 137,699,806,460.09/342,790.12
  6. Step 6: Final answer
    x = 401,702.96

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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.