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Finding the Fourth Proportional to 361,055.76, 498,272.50 and 199,910.78

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Solution

The fourth proportional to 361,055.76, 498,272.50 and 199,910.78 is: 275,885.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,055.76 : 498,272.50 = 199,910.78 : x
  2. Step 2: Convert to fraction form
    361,055.76/498,272.50 = 199,910.78/x
  3. Step 3: Cross multiply
    361,055.76x = 498,272.50 × 199,910.78
  4. Step 4: Simplify right side
    361,055.76x = 99,610,044,127.55
  5. Step 5: Solve for x
    x = 99,610,044,127.55/361,055.76
  6. Step 6: Final answer
    x = 275,885.49

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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.