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Finding the Fourth Proportional to 420,774.60, 580,673.57 and 229,793.61

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Solution

The fourth proportional to 420,774.60, 580,673.57 and 229,793.61 is: 317,117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,774.60 : 580,673.57 = 229,793.61 : x
  2. Step 2: Convert to fraction form
    420,774.60/580,673.57 = 229,793.61/x
  3. Step 3: Cross multiply
    420,774.60x = 580,673.57 × 229,793.61
  4. Step 4: Simplify right side
    420,774.60x = 133,435,074,732.92
  5. Step 5: Solve for x
    x = 133,435,074,732.92/420,774.60
  6. Step 6: Final answer
    x = 317,117.70

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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.