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Finding the Fourth Proportional to 512,122.36, 706,728.92 and 282,679.72

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Solution

The fourth proportional to 512,122.36, 706,728.92 and 282,679.72 is: 390,098.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,122.36 : 706,728.92 = 282,679.72 : x
  2. Step 2: Convert to fraction form
    512,122.36/706,728.92 = 282,679.72/x
  3. Step 3: Cross multiply
    512,122.36x = 706,728.92 × 282,679.72
  4. Step 4: Simplify right side
    512,122.36x = 199,777,933,221.50
  5. Step 5: Solve for x
    x = 199,777,933,221.50/512,122.36
  6. Step 6: Final answer
    x = 390,098.05

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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.