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Finding the Fourth Proportional to 978,742.20, 1,468,040.40 and 409,976.40

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Solution

The fourth proportional to 978,742.20, 1,468,040.40 and 409,976.40 is: 614,934.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,742.20 : 1,468,040.40 = 409,976.40 : x
  2. Step 2: Convert to fraction form
    978,742.20/1,468,040.40 = 409,976.40/x
  3. Step 3: Cross multiply
    978,742.20x = 1,468,040.40 × 409,976.40
  4. Step 4: Simplify right side
    978,742.20x = 601,861,918,246.56
  5. Step 5: Solve for x
    x = 601,861,918,246.56/978,742.20
  6. Step 6: Final answer
    x = 614,934.06

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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.