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Finding the Fourth Proportional to 254,229.82, 381,366.90 and 83,400.31

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Solution

The fourth proportional to 254,229.82, 381,366.90 and 83,400.31 is: 125,107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,229.82 : 381,366.90 = 83,400.31 : x
  2. Step 2: Convert to fraction form
    254,229.82/381,366.90 = 83,400.31/x
  3. Step 3: Cross multiply
    254,229.82x = 381,366.90 × 83,400.31
  4. Step 4: Simplify right side
    254,229.82x = 31,806,117,683.74
  5. Step 5: Solve for x
    x = 31,806,117,683.74/254,229.82
  6. Step 6: Final answer
    x = 125,107.74

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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.