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Finding the Fourth Proportional to 512,144.92, 706,760.11 and 282,702.33

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Solution

The fourth proportional to 512,144.92, 706,760.11 and 282,702.33 is: 390,129.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,144.92 : 706,760.11 = 282,702.33 : x
  2. Step 2: Convert to fraction form
    512,144.92/706,760.11 = 282,702.33/x
  3. Step 3: Cross multiply
    512,144.92x = 706,760.11 × 282,702.33
  4. Step 4: Simplify right side
    512,144.92x = 199,802,728,434.55
  5. Step 5: Solve for x
    x = 199,802,728,434.55/512,144.92
  6. Step 6: Final answer
    x = 390,129.28

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1.5x scale

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.