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Finding the Fourth Proportional to 551,462.80, 827,347.80 and 270,989.20

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Solution

The fourth proportional to 551,462.80, 827,347.80 and 270,989.20 is: 406,559.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,462.80 : 827,347.80 = 270,989.20 : x
  2. Step 2: Convert to fraction form
    551,462.80/827,347.80 = 270,989.20/x
  3. Step 3: Cross multiply
    551,462.80x = 827,347.80 × 270,989.20
  4. Step 4: Simplify right side
    551,462.80x = 224,202,318,443.76
  5. Step 5: Solve for x
    x = 224,202,318,443.76/551,462.80
  6. Step 6: Final answer
    x = 406,559.28

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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.