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Finding the Fourth Proportional to 361,597.48, 498,970.89 and 200,438.80

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Solution

The fourth proportional to 361,597.48, 498,970.89 and 200,438.80 is: 276,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,597.48 : 498,970.89 = 200,438.80 : x
  2. Step 2: Convert to fraction form
    361,597.48/498,970.89 = 200,438.80/x
  3. Step 3: Cross multiply
    361,597.48x = 498,970.89 × 200,438.80
  4. Step 4: Simplify right side
    361,597.48x = 100,013,126,426.53
  5. Step 5: Solve for x
    x = 100,013,126,426.53/361,597.48
  6. Step 6: Final answer
    x = 276,586.90

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1.5x scale

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.