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Finding the Fourth Proportional to 328,392.36, 491,806.62 and 209,696.04

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Solution

The fourth proportional to 328,392.36, 491,806.62 and 209,696.04 is: 314,044.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,392.36 : 491,806.62 = 209,696.04 : x
  2. Step 2: Convert to fraction form
    328,392.36/491,806.62 = 209,696.04/x
  3. Step 3: Cross multiply
    328,392.36x = 491,806.62 × 209,696.04
  4. Step 4: Simplify right side
    328,392.36x = 103,129,900,659.79
  5. Step 5: Solve for x
    x = 103,129,900,659.79/328,392.36
  6. Step 6: Final answer
    x = 314,044.76

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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.