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Finding the Fourth Proportional to 361,423.14, 498,766.90 and 200,280.88

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Solution

The fourth proportional to 361,423.14, 498,766.90 and 200,280.88 is: 276,389.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,423.14 : 498,766.90 = 200,280.88 : x
  2. Step 2: Convert to fraction form
    361,423.14/498,766.90 = 200,280.88/x
  3. Step 3: Cross multiply
    361,423.14x = 498,766.90 × 200,280.88
  4. Step 4: Simplify right side
    361,423.14x = 99,893,473,774.47
  5. Step 5: Solve for x
    x = 99,893,473,774.47/361,423.14
  6. Step 6: Final answer
    x = 276,389.26

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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.