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Finding the Fourth Proportional to 215,647.60, 323,514.60 and 180,828.40

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Solution

The fourth proportional to 215,647.60, 323,514.60 and 180,828.40 is: 271,278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,647.60 : 323,514.60 = 180,828.40 : x
  2. Step 2: Convert to fraction form
    215,647.60/323,514.60 = 180,828.40/x
  3. Step 3: Cross multiply
    215,647.60x = 323,514.60 × 180,828.40
  4. Step 4: Simplify right side
    215,647.60x = 58,500,627,494.64
  5. Step 5: Solve for x
    x = 58,500,627,494.64/215,647.60
  6. Step 6: Final answer
    x = 271,278.82

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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.