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Finding the Fourth Proportional to 277,570, 416,366.52 and 80,578

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Solution

The fourth proportional to 277,570, 416,366.52 and 80,578 is: 120,870.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,570 : 416,366.52 = 80,578 : x
  2. Step 2: Convert to fraction form
    277,570/416,366.52 = 80,578/x
  3. Step 3: Cross multiply
    277,570x = 416,366.52 × 80,578
  4. Step 4: Simplify right side
    277,570x = 33,549,981,448.56
  5. Step 5: Solve for x
    x = 33,549,981,448.56/277,570
  6. Step 6: Final answer
    x = 120,870.34

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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.