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Finding the Fourth Proportional to 420,906.30, 580,863.15 and 229,922.82

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Solution

The fourth proportional to 420,906.30, 580,863.15 and 229,922.82 is: 317,300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,906.30 : 580,863.15 = 229,922.82 : x
  2. Step 2: Convert to fraction form
    420,906.30/580,863.15 = 229,922.82/x
  3. Step 3: Cross multiply
    420,906.30x = 580,863.15 × 229,922.82
  4. Step 4: Simplify right side
    420,906.30x = 133,553,693,482.08
  5. Step 5: Solve for x
    x = 133,553,693,482.08/420,906.30
  6. Step 6: Final answer
    x = 317,300.30

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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.