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Finding the Fourth Proportional to 215,704.40, 323,621.40 and 153,496.40

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Solution

The fourth proportional to 215,704.40, 323,621.40 and 153,496.40 is: 230,290.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,704.40 : 323,621.40 = 153,496.40 : x
  2. Step 2: Convert to fraction form
    215,704.40/323,621.40 = 153,496.40/x
  3. Step 3: Cross multiply
    215,704.40x = 323,621.40 × 153,496.40
  4. Step 4: Simplify right side
    215,704.40x = 49,674,719,862.96
  5. Step 5: Solve for x
    x = 49,674,719,862.96/215,704.40
  6. Step 6: Final answer
    x = 230,290.71

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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.