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Finding the Fourth Proportional to 420,431, 580,207.08 and 229,456.64

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Solution

The fourth proportional to 420,431, 580,207.08 and 229,456.64 is: 316,656.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,431 : 580,207.08 = 229,456.64 : x
  2. Step 2: Convert to fraction form
    420,431/580,207.08 = 229,456.64/x
  3. Step 3: Cross multiply
    420,431x = 580,207.08 × 229,456.64
  4. Step 4: Simplify right side
    420,431x = 133,132,367,081.01
  5. Step 5: Solve for x
    x = 133,132,367,081.01/420,431
  6. Step 6: Final answer
    x = 316,656.88

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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.