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Finding the Fourth Proportional to 427,084, 641,012.37 and 227,572.90

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Solution

The fourth proportional to 427,084, 641,012.37 and 227,572.90 is: 341,565.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,084 : 641,012.37 = 227,572.90 : x
  2. Step 2: Convert to fraction form
    427,084/641,012.37 = 227,572.90/x
  3. Step 3: Cross multiply
    427,084x = 641,012.37 × 227,572.90
  4. Step 4: Simplify right side
    427,084x = 145,877,043,976.77
  5. Step 5: Solve for x
    x = 145,877,043,976.77/427,084
  6. Step 6: Final answer
    x = 341,565.23

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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.