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Finding the Fourth Proportional to 517,103.20, 775,679.10 and 162,128.80

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Solution

The fourth proportional to 517,103.20, 775,679.10 and 162,128.80 is: 243,200.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,103.20 : 775,679.10 = 162,128.80 : x
  2. Step 2: Convert to fraction form
    517,103.20/775,679.10 = 162,128.80/x
  3. Step 3: Cross multiply
    517,103.20x = 775,679.10 × 162,128.80
  4. Step 4: Simplify right side
    517,103.20x = 125,759,921,668.08
  5. Step 5: Solve for x
    x = 125,759,921,668.08/517,103.20
  6. Step 6: Final answer
    x = 243,200.82

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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.