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Finding the Fourth Proportional to 285,195.91, 428,214.40 and 159,082.55

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Solution

The fourth proportional to 285,195.91, 428,214.40 and 159,082.55 is: 238,858.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,195.91 : 428,214.40 = 159,082.55 : x
  2. Step 2: Convert to fraction form
    285,195.91/428,214.40 = 159,082.55/x
  3. Step 3: Cross multiply
    285,195.91x = 428,214.40 × 159,082.55
  4. Step 4: Simplify right side
    285,195.91x = 68,121,438,698.72
  5. Step 5: Solve for x
    x = 68,121,438,698.72/285,195.91
  6. Step 6: Final answer
    x = 238,858.40

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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.