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Finding the Fourth Proportional to 420,901.44, 580,834.32 and 229,915.68

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Solution

The fourth proportional to 420,901.44, 580,834.32 and 229,915.68 is: 317,278.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,901.44 : 580,834.32 = 229,915.68 : x
  2. Step 2: Convert to fraction form
    420,901.44/580,834.32 = 229,915.68/x
  3. Step 3: Cross multiply
    420,901.44x = 580,834.32 × 229,915.68
  4. Step 4: Simplify right side
    420,901.44x = 133,542,917,650.14
  5. Step 5: Solve for x
    x = 133,542,917,650.14/420,901.44
  6. Step 6: Final answer
    x = 317,278.36

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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.