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Finding the Fourth Proportional to 361,449.08, 498,802.66 and 200,306.78

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Solution

The fourth proportional to 361,449.08, 498,802.66 and 200,306.78 is: 276,424.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,449.08 : 498,802.66 = 200,306.78 : x
  2. Step 2: Convert to fraction form
    361,449.08/498,802.66 = 200,306.78/x
  3. Step 3: Cross multiply
    361,449.08x = 498,802.66 × 200,306.78
  4. Step 4: Simplify right side
    361,449.08x = 99,913,551,685.25
  5. Step 5: Solve for x
    x = 99,913,551,685.25/361,449.08
  6. Step 6: Final answer
    x = 276,424.98

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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.