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Finding the Fourth Proportional to 512,120.92, 706,722.97 and 282,678.18

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Solution

The fourth proportional to 512,120.92, 706,722.97 and 282,678.18 is: 390,093.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,120.92 : 706,722.97 = 282,678.18 : x
  2. Step 2: Convert to fraction form
    512,120.92/706,722.97 = 282,678.18/x
  3. Step 3: Cross multiply
    512,120.92x = 706,722.97 × 282,678.18
  4. Step 4: Simplify right side
    512,120.92x = 199,775,157,976.79
  5. Step 5: Solve for x
    x = 199,775,157,976.79/512,120.92
  6. Step 6: Final answer
    x = 390,093.73

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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.