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Finding the Fourth Proportional to 978,082.90, 1,467,124.35 and 409,365.70

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Solution

The fourth proportional to 978,082.90, 1,467,124.35 and 409,365.70 is: 614,048.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,082.90 : 1,467,124.35 = 409,365.70 : x
  2. Step 2: Convert to fraction form
    978,082.90/1,467,124.35 = 409,365.70/x
  3. Step 3: Cross multiply
    978,082.90x = 1,467,124.35 × 409,365.70
  4. Step 4: Simplify right side
    978,082.90x = 600,590,386,524.80
  5. Step 5: Solve for x
    x = 600,590,386,524.80/978,082.90
  6. Step 6: Final answer
    x = 614,048.55

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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.