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Finding the Fourth Proportional to 614,288.20, 847,704.72 and 342,380.92

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Solution

The fourth proportional to 614,288.20, 847,704.72 and 342,380.92 is: 472,478.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,288.20 : 847,704.72 = 342,380.92 : x
  2. Step 2: Convert to fraction form
    614,288.20/847,704.72 = 342,380.92/x
  3. Step 3: Cross multiply
    614,288.20x = 847,704.72 × 342,380.92
  4. Step 4: Simplify right side
    614,288.20x = 290,237,921,921.94
  5. Step 5: Solve for x
    x = 290,237,921,921.94/614,288.20
  6. Step 6: Final answer
    x = 472,478.43

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.