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Finding the Fourth Proportional to 288,330.25, 397,894.17 and 159,277.61

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Solution

The fourth proportional to 288,330.25, 397,894.17 and 159,277.61 is: 219,802.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,330.25 : 397,894.17 = 159,277.61 : x
  2. Step 2: Convert to fraction form
    288,330.25/397,894.17 = 159,277.61/x
  3. Step 3: Cross multiply
    288,330.25x = 397,894.17 × 159,277.61
  4. Step 4: Simplify right side
    288,330.25x = 63,375,632,430.53
  5. Step 5: Solve for x
    x = 63,375,632,430.53/288,330.25
  6. Step 6: Final answer
    x = 219,802.23

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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.