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Finding the Fourth Proportional to 312,175.30, 468,073.32 and 122,408.32

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Solution

The fourth proportional to 312,175.30, 468,073.32 and 122,408.32 is: 183,538.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,175.30 : 468,073.32 = 122,408.32 : x
  2. Step 2: Convert to fraction form
    312,175.30/468,073.32 = 122,408.32/x
  3. Step 3: Cross multiply
    312,175.30x = 468,073.32 × 122,408.32
  4. Step 4: Simplify right side
    312,175.30x = 57,296,070,335.72
  5. Step 5: Solve for x
    x = 57,296,070,335.72/312,175.30
  6. Step 6: Final answer
    x = 183,538.13

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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.