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Finding the Fourth Proportional to 420,454.16, 580,228.48 and 229,471.60

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Solution

The fourth proportional to 420,454.16, 580,228.48 and 229,471.60 is: 316,671.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,454.16 : 580,228.48 = 229,471.60 : x
  2. Step 2: Convert to fraction form
    420,454.16/580,228.48 = 229,471.60/x
  3. Step 3: Cross multiply
    420,454.16x = 580,228.48 × 229,471.60
  4. Step 4: Simplify right side
    420,454.16x = 133,145,957,671.17
  5. Step 5: Solve for x
    x = 133,145,957,671.17/420,454.16
  6. Step 6: Final answer
    x = 316,671.76

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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.