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Finding the Fourth Proportional to 546,942.20, 820,407.90 and 172,965.20

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Solution

The fourth proportional to 546,942.20, 820,407.90 and 172,965.20 is: 259,446.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,942.20 : 820,407.90 = 172,965.20 : x
  2. Step 2: Convert to fraction form
    546,942.20/820,407.90 = 172,965.20/x
  3. Step 3: Cross multiply
    546,942.20x = 820,407.90 × 172,965.20
  4. Step 4: Simplify right side
    546,942.20x = 141,902,016,505.08
  5. Step 5: Solve for x
    x = 141,902,016,505.08/546,942.20
  6. Step 6: Final answer
    x = 259,446.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.