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Finding the Fourth Proportional to 382,993.76, 574,367.13 and 126,778.52

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Solution

The fourth proportional to 382,993.76, 574,367.13 and 126,778.52 is: 190,126.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,993.76 : 574,367.13 = 126,778.52 : x
  2. Step 2: Convert to fraction form
    382,993.76/574,367.13 = 126,778.52/x
  3. Step 3: Cross multiply
    382,993.76x = 574,367.13 × 126,778.52
  4. Step 4: Simplify right side
    382,993.76x = 72,817,411,806.21
  5. Step 5: Solve for x
    x = 72,817,411,806.21/382,993.76
  6. Step 6: Final answer
    x = 190,126.89

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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.