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Finding the Fourth Proportional to 427,227.70, 640,981.84 and 174,720.55

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Solution

The fourth proportional to 427,227.70, 640,981.84 and 174,720.55 is: 262,138.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,227.70 : 640,981.84 = 174,720.55 : x
  2. Step 2: Convert to fraction form
    427,227.70/640,981.84 = 174,720.55/x
  3. Step 3: Cross multiply
    427,227.70x = 640,981.84 × 174,720.55
  4. Step 4: Simplify right side
    427,227.70x = 111,992,699,624.81
  5. Step 5: Solve for x
    x = 111,992,699,624.81/427,227.70
  6. Step 6: Final answer
    x = 262,138.20

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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.