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Finding the Fourth Proportional to 577,478.20, 866,237.10 and 178,115.80

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Solution

The fourth proportional to 577,478.20, 866,237.10 and 178,115.80 is: 267,179.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,478.20 : 866,237.10 = 178,115.80 : x
  2. Step 2: Convert to fraction form
    577,478.20/866,237.10 = 178,115.80/x
  3. Step 3: Cross multiply
    577,478.20x = 866,237.10 × 178,115.80
  4. Step 4: Simplify right side
    577,478.20x = 154,290,514,056.18
  5. Step 5: Solve for x
    x = 154,290,514,056.18/577,478.20
  6. Step 6: Final answer
    x = 267,179.81

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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.