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Finding the Fourth Proportional to 477,309.96, 715,964.67 and 140,353.41

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Solution

The fourth proportional to 477,309.96, 715,964.67 and 140,353.41 is: 210,530.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,309.96 : 715,964.67 = 140,353.41 : x
  2. Step 2: Convert to fraction form
    477,309.96/715,964.67 = 140,353.41/x
  3. Step 3: Cross multiply
    477,309.96x = 715,964.67 × 140,353.41
  4. Step 4: Simplify right side
    477,309.96x = 100,488,082,874.03
  5. Step 5: Solve for x
    x = 100,488,082,874.03/477,309.96
  6. Step 6: Final answer
    x = 210,530.04

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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.