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Finding the Fourth Proportional to 546,942.70, 820,408.65 and 172,965.70

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Solution

The fourth proportional to 546,942.70, 820,408.65 and 172,965.70 is: 259,446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,942.70 : 820,408.65 = 172,965.70 : x
  2. Step 2: Convert to fraction form
    546,942.70/820,408.65 = 172,965.70/x
  3. Step 3: Cross multiply
    546,942.70x = 820,408.65 × 172,965.70
  4. Step 4: Simplify right side
    546,942.70x = 141,902,556,433.31
  5. Step 5: Solve for x
    x = 141,902,556,433.31/546,942.70
  6. Step 6: Final answer
    x = 259,446.84

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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.