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Finding the Fourth Proportional to 512,147.42, 706,763.57 and 282,704.85

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Solution

The fourth proportional to 512,147.42, 706,763.57 and 282,704.85 is: 390,132.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,147.42 : 706,763.57 = 282,704.85 : x
  2. Step 2: Convert to fraction form
    512,147.42/706,763.57 = 282,704.85/x
  3. Step 3: Cross multiply
    512,147.42x = 706,763.57 × 282,704.85
  4. Step 4: Simplify right side
    512,147.42x = 199,805,489,749.08
  5. Step 5: Solve for x
    x = 199,805,489,749.08/512,147.42
  6. Step 6: Final answer
    x = 390,132.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.