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Finding the Fourth Proportional to 391,031.16, 539,621.10 and 212,183.16

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Solution

The fourth proportional to 391,031.16, 539,621.10 and 212,183.16 is: 292,811.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,031.16 : 539,621.10 = 212,183.16 : x
  2. Step 2: Convert to fraction form
    391,031.16/539,621.10 = 212,183.16/x
  3. Step 3: Cross multiply
    391,031.16x = 539,621.10 × 212,183.16
  4. Step 4: Simplify right side
    391,031.16x = 114,498,510,200.68
  5. Step 5: Solve for x
    x = 114,498,510,200.68/391,031.16
  6. Step 6: Final answer
    x = 292,811.73

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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.