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Finding the Fourth Proportional to 509,577.92, 764,674.08 and 177,387.20

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Solution

The fourth proportional to 509,577.92, 764,674.08 and 177,387.20 is: 266,187.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,577.92 : 764,674.08 = 177,387.20 : x
  2. Step 2: Convert to fraction form
    509,577.92/764,674.08 = 177,387.20/x
  3. Step 3: Cross multiply
    509,577.92x = 764,674.08 × 177,387.20
  4. Step 4: Simplify right side
    509,577.92x = 135,643,393,963.78
  5. Step 5: Solve for x
    x = 135,643,393,963.78/509,577.92
  6. Step 6: Final answer
    x = 266,187.74

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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.