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Finding the Fourth Proportional to 275,171.12, 412,756.76 and 181,655

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Solution

The fourth proportional to 275,171.12, 412,756.76 and 181,655 is: 272,482.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,171.12 : 412,756.76 = 181,655 : x
  2. Step 2: Convert to fraction form
    275,171.12/412,756.76 = 181,655/x
  3. Step 3: Cross multiply
    275,171.12x = 412,756.76 × 181,655
  4. Step 4: Simplify right side
    275,171.12x = 74,979,329,237.80
  5. Step 5: Solve for x
    x = 74,979,329,237.80/275,171.12
  6. Step 6: Final answer
    x = 272,482.55

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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.