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Finding the Fourth Proportional to 288,854, 398,611.06 and 159,789.12

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Solution

The fourth proportional to 288,854, 398,611.06 and 159,789.12 is: 220,504.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,854 : 398,611.06 = 159,789.12 : x
  2. Step 2: Convert to fraction form
    288,854/398,611.06 = 159,789.12/x
  3. Step 3: Cross multiply
    288,854x = 398,611.06 × 159,789.12
  4. Step 4: Simplify right side
    288,854x = 63,693,710,499.67
  5. Step 5: Solve for x
    x = 63,693,710,499.67/288,854
  6. Step 6: Final answer
    x = 220,504.86

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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.