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Finding the Fourth Proportional to 978,314.70, 1,467,399.15 and 409,548.90

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Solution

The fourth proportional to 978,314.70, 1,467,399.15 and 409,548.90 is: 614,292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,314.70 : 1,467,399.15 = 409,548.90 : x
  2. Step 2: Convert to fraction form
    978,314.70/1,467,399.15 = 409,548.90/x
  3. Step 3: Cross multiply
    978,314.70x = 1,467,399.15 × 409,548.90
  4. Step 4: Simplify right side
    978,314.70x = 600,971,707,743.44
  5. Step 5: Solve for x
    x = 600,971,707,743.44/978,314.70
  6. Step 6: Final answer
    x = 614,292.83

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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.