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Finding the Fourth Proportional to 288,100.52, 397,605.17 and 159,062.05

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Solution

The fourth proportional to 288,100.52, 397,605.17 and 159,062.05 is: 219,520.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,100.52 : 397,605.17 = 159,062.05 : x
  2. Step 2: Convert to fraction form
    288,100.52/397,605.17 = 159,062.05/x
  3. Step 3: Cross multiply
    288,100.52x = 397,605.17 × 159,062.05
  4. Step 4: Simplify right side
    288,100.52x = 63,243,893,430.80
  5. Step 5: Solve for x
    x = 63,243,893,430.80/288,100.52
  6. Step 6: Final answer
    x = 219,520.23

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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.