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Finding the Fourth Proportional to 551,385.20, 827,221.80 and 177,417.20

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Solution

The fourth proportional to 551,385.20, 827,221.80 and 177,417.20 is: 266,172.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,385.20 : 827,221.80 = 177,417.20 : x
  2. Step 2: Convert to fraction form
    551,385.20/827,221.80 = 177,417.20/x
  3. Step 3: Cross multiply
    551,385.20x = 827,221.80 × 177,417.20
  4. Step 4: Simplify right side
    551,385.20x = 146,763,375,534.96
  5. Step 5: Solve for x
    x = 146,763,375,534.96/551,385.20
  6. Step 6: Final answer
    x = 266,172.13

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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.