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Finding the Fourth Proportional to 408,959.56, 613,564.54 and 209,421.23

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Solution

The fourth proportional to 408,959.56, 613,564.54 and 209,421.23 is: 314,195.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,959.56 : 613,564.54 = 209,421.23 : x
  2. Step 2: Convert to fraction form
    408,959.56/613,564.54 = 209,421.23/x
  3. Step 3: Cross multiply
    408,959.56x = 613,564.54 × 209,421.23
  4. Step 4: Simplify right side
    408,959.56x = 128,493,440,651.18
  5. Step 5: Solve for x
    x = 128,493,440,651.18/408,959.56
  6. Step 6: Final answer
    x = 314,195.96

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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.