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Finding the Fourth Proportional to 253,791.36, 380,742.72 and 76,314.24

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Solution

The fourth proportional to 253,791.36, 380,742.72 and 76,314.24 is: 114,488.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,791.36 : 380,742.72 = 76,314.24 : x
  2. Step 2: Convert to fraction form
    253,791.36/380,742.72 = 76,314.24/x
  3. Step 3: Cross multiply
    253,791.36x = 380,742.72 × 76,314.24
  4. Step 4: Simplify right side
    253,791.36x = 29,056,091,312.33
  5. Step 5: Solve for x
    x = 29,056,091,312.33/253,791.36
  6. Step 6: Final answer
    x = 114,488.10

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1.5x scale

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.