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Finding the Fourth Proportional to 437,114.64, 655,639.95 and 137,680.85

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Solution

The fourth proportional to 437,114.64, 655,639.95 and 137,680.85 is: 206,511.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,114.64 : 655,639.95 = 137,680.85 : x
  2. Step 2: Convert to fraction form
    437,114.64/655,639.95 = 137,680.85/x
  3. Step 3: Cross multiply
    437,114.64x = 655,639.95 × 137,680.85
  4. Step 4: Simplify right side
    437,114.64x = 90,269,065,609.96
  5. Step 5: Solve for x
    x = 90,269,065,609.96/437,114.64
  6. Step 6: Final answer
    x = 206,511.19

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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.