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Finding the Fourth Proportional to 288,596.61, 398,257.47 and 159,540.53

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Solution

The fourth proportional to 288,596.61, 398,257.47 and 159,540.53 is: 220,162.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,596.61 : 398,257.47 = 159,540.53 : x
  2. Step 2: Convert to fraction form
    288,596.61/398,257.47 = 159,540.53/x
  3. Step 3: Cross multiply
    288,596.61x = 398,257.47 × 159,540.53
  4. Step 4: Simplify right side
    288,596.61x = 63,538,205,848.97
  5. Step 5: Solve for x
    x = 63,538,205,848.97/288,596.61
  6. Step 6: Final answer
    x = 220,162.69

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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.