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Finding the Fourth Proportional to 410,960.32, 615,494.40 and 210,788.80

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Solution

The fourth proportional to 410,960.32, 615,494.40 and 210,788.80 is: 315,697.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,960.32 : 615,494.40 = 210,788.80 : x
  2. Step 2: Convert to fraction form
    410,960.32/615,494.40 = 210,788.80/x
  3. Step 3: Cross multiply
    410,960.32x = 615,494.40 × 210,788.80
  4. Step 4: Simplify right side
    410,960.32x = 129,739,325,982.72
  5. Step 5: Solve for x
    x = 129,739,325,982.72/410,960.32
  6. Step 6: Final answer
    x = 315,697.94

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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.