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Finding the Fourth Proportional to 215,818.56, 323,873.28 and 75,578.40

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Solution

The fourth proportional to 215,818.56, 323,873.28 and 75,578.40 is: 113,418.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,818.56 : 323,873.28 = 75,578.40 : x
  2. Step 2: Convert to fraction form
    215,818.56/323,873.28 = 75,578.40/x
  3. Step 3: Cross multiply
    215,818.56x = 323,873.28 × 75,578.40
  4. Step 4: Simplify right side
    215,818.56x = 24,477,824,305.15
  5. Step 5: Solve for x
    x = 24,477,824,305.15/215,818.56
  6. Step 6: Final answer
    x = 113,418.53

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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.