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Finding the Fourth Proportional to 288,474.54, 398,092.66 and 159,421.69

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Solution

The fourth proportional to 288,474.54, 398,092.66 and 159,421.69 is: 220,000.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,474.54 : 398,092.66 = 159,421.69 : x
  2. Step 2: Convert to fraction form
    288,474.54/398,092.66 = 159,421.69/x
  3. Step 3: Cross multiply
    288,474.54x = 398,092.66 × 159,421.69
  4. Step 4: Simplify right side
    288,474.54x = 63,464,604,633.80
  5. Step 5: Solve for x
    x = 63,464,604,633.80/288,474.54
  6. Step 6: Final answer
    x = 220,000.71

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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.