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Finding the Fourth Proportional to 391,047.20, 539,643.16 and 212,199.20

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Solution

The fourth proportional to 391,047.20, 539,643.16 and 212,199.20 is: 292,833.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,047.20 : 539,643.16 = 212,199.20 : x
  2. Step 2: Convert to fraction form
    391,047.20/539,643.16 = 212,199.20/x
  3. Step 3: Cross multiply
    391,047.20x = 539,643.16 × 212,199.20
  4. Step 4: Simplify right side
    391,047.20x = 114,511,846,837.47
  5. Step 5: Solve for x
    x = 114,511,846,837.47/391,047.20
  6. Step 6: Final answer
    x = 292,833.82

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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.