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Finding the Fourth Proportional to 361,920.40, 499,426.62 and 200,775.04

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Solution

The fourth proportional to 361,920.40, 499,426.62 and 200,775.04 is: 277,056.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,920.40 : 499,426.62 = 200,775.04 : x
  2. Step 2: Convert to fraction form
    361,920.40/499,426.62 = 200,775.04/x
  3. Step 3: Cross multiply
    361,920.40x = 499,426.62 × 200,775.04
  4. Step 4: Simplify right side
    361,920.40x = 100,272,399,607.57
  5. Step 5: Solve for x
    x = 100,272,399,607.57/361,920.40
  6. Step 6: Final answer
    x = 277,056.50

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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.