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Finding the Fourth Proportional to 508,711.32, 763,022.70 and 193,170.60

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Solution

The fourth proportional to 508,711.32, 763,022.70 and 193,170.60 is: 289,739.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,711.32 : 763,022.70 = 193,170.60 : x
  2. Step 2: Convert to fraction form
    508,711.32/763,022.70 = 193,170.60/x
  3. Step 3: Cross multiply
    508,711.32x = 763,022.70 × 193,170.60
  4. Step 4: Simplify right side
    508,711.32x = 147,393,552,772.62
  5. Step 5: Solve for x
    x = 147,393,552,772.62/508,711.32
  6. Step 6: Final answer
    x = 289,739.09

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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.