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Finding the Fourth Proportional to 512,229.23, 706,968.87 and 305,510.88

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Solution

The fourth proportional to 512,229.23, 706,968.87 and 305,510.88 is: 421,660.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,229.23 : 706,968.87 = 305,510.88 : x
  2. Step 2: Convert to fraction form
    512,229.23/706,968.87 = 305,510.88/x
  3. Step 3: Cross multiply
    512,229.23x = 706,968.87 × 305,510.88
  4. Step 4: Simplify right side
    512,229.23x = 215,986,681,780.29
  5. Step 5: Solve for x
    x = 215,986,681,780.29/512,229.23
  6. Step 6: Final answer
    x = 421,660.20

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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.