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Finding the Fourth Proportional to 478,067.56, 716,984.70 and 197,665

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Solution

The fourth proportional to 478,067.56, 716,984.70 and 197,665 is: 296,449.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,067.56 : 716,984.70 = 197,665 : x
  2. Step 2: Convert to fraction form
    478,067.56/716,984.70 = 197,665/x
  3. Step 3: Cross multiply
    478,067.56x = 716,984.70 × 197,665
  4. Step 4: Simplify right side
    478,067.56x = 141,722,780,725.50
  5. Step 5: Solve for x
    x = 141,722,780,725.50/478,067.56
  6. Step 6: Final answer
    x = 296,449.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.