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Finding the Fourth Proportional to 361,283.72, 541,755.86 and 209,523.92

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Solution

The fourth proportional to 361,283.72, 541,755.86 and 209,523.92 is: 314,187.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,283.72 : 541,755.86 = 209,523.92 : x
  2. Step 2: Convert to fraction form
    361,283.72/541,755.86 = 209,523.92/x
  3. Step 3: Cross multiply
    361,283.72x = 541,755.86 × 209,523.92
  4. Step 4: Simplify right side
    361,283.72x = 113,510,807,713.77
  5. Step 5: Solve for x
    x = 113,510,807,713.77/361,283.72
  6. Step 6: Final answer
    x = 314,187.45

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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.