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Finding the Fourth Proportional to 408,371.33, 612,681.60 and 208,831.88

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Solution

The fourth proportional to 408,371.33, 612,681.60 and 208,831.88 is: 313,311.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,371.33 : 612,681.60 = 208,831.88 : x
  2. Step 2: Convert to fraction form
    408,371.33/612,681.60 = 208,831.88/x
  3. Step 3: Cross multiply
    408,371.33x = 612,681.60 × 208,831.88
  4. Step 4: Simplify right side
    408,371.33x = 127,947,450,369.41
  5. Step 5: Solve for x
    x = 127,947,450,369.41/408,371.33
  6. Step 6: Final answer
    x = 313,311.54

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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.