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Finding the Fourth Proportional to 361,815.30, 499,334.94 and 200,722.20

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Solution

The fourth proportional to 361,815.30, 499,334.94 and 200,722.20 is: 277,013.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,815.30 : 499,334.94 = 200,722.20 : x
  2. Step 2: Convert to fraction form
    361,815.30/499,334.94 = 200,722.20/x
  3. Step 3: Cross multiply
    361,815.30x = 499,334.94 × 200,722.20
  4. Step 4: Simplify right side
    361,815.30x = 100,227,607,693.67
  5. Step 5: Solve for x
    x = 100,227,607,693.67/361,815.30
  6. Step 6: Final answer
    x = 277,013.18

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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.