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Finding the Fourth Proportional to 498,200.87, 687,533.78 and 271,858.79

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Solution

The fourth proportional to 498,200.87, 687,533.78 and 271,858.79 is: 375,174.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,200.87 : 687,533.78 = 271,858.79 : x
  2. Step 2: Convert to fraction form
    498,200.87/687,533.78 = 271,858.79/x
  3. Step 3: Cross multiply
    498,200.87x = 687,533.78 × 271,858.79
  4. Step 4: Simplify right side
    498,200.87x = 186,912,098,756.90
  5. Step 5: Solve for x
    x = 186,912,098,756.90/498,200.87
  6. Step 6: Final answer
    x = 375,174.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.