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Finding the Fourth Proportional to 288,987.30, 398,941.68 and 192,351.96

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Solution

The fourth proportional to 288,987.30, 398,941.68 and 192,351.96 is: 265,538.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,987.30 : 398,941.68 = 192,351.96 : x
  2. Step 2: Convert to fraction form
    288,987.30/398,941.68 = 192,351.96/x
  3. Step 3: Cross multiply
    288,987.30x = 398,941.68 × 192,351.96
  4. Step 4: Simplify right side
    288,987.30x = 76,737,214,073.69
  5. Step 5: Solve for x
    x = 76,737,214,073.69/288,987.30
  6. Step 6: Final answer
    x = 265,538.36

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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.