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Finding the Fourth Proportional to 240,381.76, 360,420 and 127,992.64

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Solution

The fourth proportional to 240,381.76, 360,420 and 127,992.64 is: 191,907.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,381.76 : 360,420 = 127,992.64 : x
  2. Step 2: Convert to fraction form
    240,381.76/360,420 = 127,992.64/x
  3. Step 3: Cross multiply
    240,381.76x = 360,420 × 127,992.64
  4. Step 4: Simplify right side
    240,381.76x = 46,131,107,308.80
  5. Step 5: Solve for x
    x = 46,131,107,308.80/240,381.76
  6. Step 6: Final answer
    x = 191,907.69

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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.