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Finding the Fourth Proportional to 342,291.42, 513,247.50 and 140,029.56

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Solution

The fourth proportional to 342,291.42, 513,247.50 and 140,029.56 is: 209,966.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,291.42 : 513,247.50 = 140,029.56 : x
  2. Step 2: Convert to fraction form
    342,291.42/513,247.50 = 140,029.56/x
  3. Step 3: Cross multiply
    342,291.42x = 513,247.50 × 140,029.56
  4. Step 4: Simplify right side
    342,291.42x = 71,869,821,596.10
  5. Step 5: Solve for x
    x = 71,869,821,596.10/342,291.42
  6. Step 6: Final answer
    x = 209,966.76

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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.