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Finding the Fourth Proportional to 379,909.14, 570,060.54 and 192,920.64

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Solution

The fourth proportional to 379,909.14, 570,060.54 and 192,920.64 is: 289,480.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,909.14 : 570,060.54 = 192,920.64 : x
  2. Step 2: Convert to fraction form
    379,909.14/570,060.54 = 192,920.64/x
  3. Step 3: Cross multiply
    379,909.14x = 570,060.54 × 192,920.64
  4. Step 4: Simplify right side
    379,909.14x = 109,976,444,215.55
  5. Step 5: Solve for x
    x = 109,976,444,215.55/379,909.14
  6. Step 6: Final answer
    x = 289,480.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.