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Finding the Fourth Proportional to 512,200.80, 706,507.20 and 310,996.80

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Solution

The fourth proportional to 512,200.80, 706,507.20 and 310,996.80 is: 428,975.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,200.80 : 706,507.20 = 310,996.80 : x
  2. Step 2: Convert to fraction form
    512,200.80/706,507.20 = 310,996.80/x
  3. Step 3: Cross multiply
    512,200.80x = 706,507.20 × 310,996.80
  4. Step 4: Simplify right side
    512,200.80x = 219,721,478,376.96
  5. Step 5: Solve for x
    x = 219,721,478,376.96/512,200.80
  6. Step 6: Final answer
    x = 428,975.27

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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.