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Finding the Fourth Proportional to 427,007.70, 640,515.80 and 174,220.67

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Solution

The fourth proportional to 427,007.70, 640,515.80 and 174,220.67 is: 261,332.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,007.70 : 640,515.80 = 174,220.67 : x
  2. Step 2: Convert to fraction form
    427,007.70/640,515.80 = 174,220.67/x
  3. Step 3: Cross multiply
    427,007.70x = 640,515.80 × 174,220.67
  4. Step 4: Simplify right side
    427,007.70x = 111,591,093,858.43
  5. Step 5: Solve for x
    x = 111,591,093,858.43/427,007.70
  6. Step 6: Final answer
    x = 261,332.74

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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.