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Finding the Fourth Proportional to 320,696.24, 480,902.16 and 170,908.61

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Solution

The fourth proportional to 320,696.24, 480,902.16 and 170,908.61 is: 256,287.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,696.24 : 480,902.16 = 170,908.61 : x
  2. Step 2: Convert to fraction form
    320,696.24/480,902.16 = 170,908.61/x
  3. Step 3: Cross multiply
    320,696.24x = 480,902.16 × 170,908.61
  4. Step 4: Simplify right side
    320,696.24x = 82,190,319,711.60
  5. Step 5: Solve for x
    x = 82,190,319,711.60/320,696.24
  6. Step 6: Final answer
    x = 256,287.13

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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.