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Finding the Fourth Proportional to 408,541.86, 613,386.90 and 209,005.38

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Solution

The fourth proportional to 408,541.86, 613,386.90 and 209,005.38 is: 313,801.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,541.86 : 613,386.90 = 209,005.38 : x
  2. Step 2: Convert to fraction form
    408,541.86/613,386.90 = 209,005.38/x
  3. Step 3: Cross multiply
    408,541.86x = 613,386.90 × 209,005.38
  4. Step 4: Simplify right side
    408,541.86x = 128,201,162,121.52
  5. Step 5: Solve for x
    x = 128,201,162,121.52/408,541.86
  6. Step 6: Final answer
    x = 313,801.78

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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.