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Finding the Fourth Proportional to 647,414.76, 971,515.78 and 273,437.76

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Solution

The fourth proportional to 647,414.76, 971,515.78 and 273,437.76 is: 410,322.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,414.76 : 971,515.78 = 273,437.76 : x
  2. Step 2: Convert to fraction form
    647,414.76/971,515.78 = 273,437.76/x
  3. Step 3: Cross multiply
    647,414.76x = 971,515.78 × 273,437.76
  4. Step 4: Simplify right side
    647,414.76x = 265,649,098,687.85
  5. Step 5: Solve for x
    x = 265,649,098,687.85/647,414.76
  6. Step 6: Final answer
    x = 410,322.90

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1.5x scale

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.