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Finding the Fourth Proportional to 420,294.54, 580,008.39 and 229,311.90

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Solution

The fourth proportional to 420,294.54, 580,008.39 and 229,311.90 is: 316,451.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,294.54 : 580,008.39 = 229,311.90 : x
  2. Step 2: Convert to fraction form
    420,294.54/580,008.39 = 229,311.90/x
  3. Step 3: Cross multiply
    420,294.54x = 580,008.39 × 229,311.90
  4. Step 4: Simplify right side
    420,294.54x = 133,002,825,926.84
  5. Step 5: Solve for x
    x = 133,002,825,926.84/420,294.54
  6. Step 6: Final answer
    x = 316,451.47

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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.