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Finding the Fourth Proportional to 978,385.40, 1,467,578.10 and 820,921.40

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Solution

The fourth proportional to 978,385.40, 1,467,578.10 and 820,921.40 is: 1,231,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,385.40 : 1,467,578.10 = 820,921.40 : x
  2. Step 2: Convert to fraction form
    978,385.40/1,467,578.10 = 820,921.40/x
  3. Step 3: Cross multiply
    978,385.40x = 1,467,578.10 × 820,921.40
  4. Step 4: Simplify right side
    978,385.40x = 1,204,766,268,461.34
  5. Step 5: Solve for x
    x = 1,204,766,268,461.34/978,385.40
  6. Step 6: Final answer
    x = 1,231,382.10

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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.