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Finding the Fourth Proportional to 391,034.40, 586,570.80 and 204,410.40

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Solution

The fourth proportional to 391,034.40, 586,570.80 and 204,410.40 is: 306,625.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,034.40 : 586,570.80 = 204,410.40 : x
  2. Step 2: Convert to fraction form
    391,034.40/586,570.80 = 204,410.40/x
  3. Step 3: Cross multiply
    391,034.40x = 586,570.80 × 204,410.40
  4. Step 4: Simplify right side
    391,034.40x = 119,901,171,856.32
  5. Step 5: Solve for x
    x = 119,901,171,856.32/391,034.40
  6. Step 6: Final answer
    x = 306,625.64

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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.