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Finding the Fourth Proportional to 253,590.34, 380,422.60 and 76,111.38

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Solution

The fourth proportional to 253,590.34, 380,422.60 and 76,111.38 is: 114,178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,590.34 : 380,422.60 = 76,111.38 : x
  2. Step 2: Convert to fraction form
    253,590.34/380,422.60 = 76,111.38/x
  3. Step 3: Cross multiply
    253,590.34x = 380,422.60 × 76,111.38
  4. Step 4: Simplify right side
    253,590.34x = 28,954,489,069.19
  5. Step 5: Solve for x
    x = 28,954,489,069.19/253,590.34
  6. Step 6: Final answer
    x = 114,178.20

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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.