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Finding the Fourth Proportional to 420,358.55, 580,108.80 and 229,382.42

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Solution

The fourth proportional to 420,358.55, 580,108.80 and 229,382.42 is: 316,555.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,358.55 : 580,108.80 = 229,382.42 : x
  2. Step 2: Convert to fraction form
    420,358.55/580,108.80 = 229,382.42/x
  3. Step 3: Cross multiply
    420,358.55x = 580,108.80 × 229,382.42
  4. Step 4: Simplify right side
    420,358.55x = 133,066,757,371.70
  5. Step 5: Solve for x
    x = 133,066,757,371.70/420,358.55
  6. Step 6: Final answer
    x = 316,555.38

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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.