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Finding the Fourth Proportional to 820,689, 1,231,193.10 and 315,213

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Solution

The fourth proportional to 820,689, 1,231,193.10 and 315,213 is: 472,880.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,689 : 1,231,193.10 = 315,213 : x
  2. Step 2: Convert to fraction form
    820,689/1,231,193.10 = 315,213/x
  3. Step 3: Cross multiply
    820,689x = 1,231,193.10 × 315,213
  4. Step 4: Simplify right side
    820,689x = 388,088,070,630.30
  5. Step 5: Solve for x
    x = 388,088,070,630.30/820,689
  6. Step 6: Final answer
    x = 472,880.80

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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.