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Finding the Fourth Proportional to 363,435.36, 545,243.76 and 126,780

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Solution

The fourth proportional to 363,435.36, 545,243.76 and 126,780 is: 190,201.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,435.36 : 545,243.76 = 126,780 : x
  2. Step 2: Convert to fraction form
    363,435.36/545,243.76 = 126,780/x
  3. Step 3: Cross multiply
    363,435.36x = 545,243.76 × 126,780
  4. Step 4: Simplify right side
    363,435.36x = 69,126,003,892.80
  5. Step 5: Solve for x
    x = 69,126,003,892.80/363,435.36
  6. Step 6: Final answer
    x = 190,201.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.