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Finding the Fourth Proportional to 645,230.80, 967,999.80 and 271,061.20

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Solution

The fourth proportional to 645,230.80, 967,999.80 and 271,061.20 is: 406,656.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,230.80 : 967,999.80 = 271,061.20 : x
  2. Step 2: Convert to fraction form
    645,230.80/967,999.80 = 271,061.20/x
  3. Step 3: Cross multiply
    645,230.80x = 967,999.80 × 271,061.20
  4. Step 4: Simplify right side
    645,230.80x = 262,387,187,387.76
  5. Step 5: Solve for x
    x = 262,387,187,387.76/645,230.80
  6. Step 6: Final answer
    x = 406,656.33

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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.