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Finding the Fourth Proportional to 208,294.74, 287,451.99 and 127,766.67

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Solution

The fourth proportional to 208,294.74, 287,451.99 and 127,766.67 is: 176,321.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,294.74 : 287,451.99 = 127,766.67 : x
  2. Step 2: Convert to fraction form
    208,294.74/287,451.99 = 127,766.67/x
  3. Step 3: Cross multiply
    208,294.74x = 287,451.99 × 127,766.67
  4. Step 4: Simplify right side
    208,294.74x = 36,726,782,469.23
  5. Step 5: Solve for x
    x = 36,726,782,469.23/208,294.74
  6. Step 6: Final answer
    x = 176,321.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.