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Finding the Fourth Proportional to 852,920, 1,177,133.28 and 495,224

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Solution

The fourth proportional to 852,920, 1,177,133.28 and 495,224 is: 683,469.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,920 : 1,177,133.28 = 495,224 : x
  2. Step 2: Convert to fraction form
    852,920/1,177,133.28 = 495,224/x
  3. Step 3: Cross multiply
    852,920x = 1,177,133.28 × 495,224
  4. Step 4: Simplify right side
    852,920x = 582,944,651,454.72
  5. Step 5: Solve for x
    x = 582,944,651,454.72/852,920
  6. Step 6: Final answer
    x = 683,469.32

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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.