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Finding the Fourth Proportional to 408,332, 612,622.20 and 208,792.46

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Solution

The fourth proportional to 408,332, 612,622.20 and 208,792.46 is: 313,252.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,332 : 612,622.20 = 208,792.46 : x
  2. Step 2: Convert to fraction form
    408,332/612,622.20 = 208,792.46/x
  3. Step 3: Cross multiply
    408,332x = 612,622.20 × 208,792.46
  4. Step 4: Simplify right side
    408,332x = 127,910,896,188.61
  5. Step 5: Solve for x
    x = 127,910,896,188.61/408,332
  6. Step 6: Final answer
    x = 313,252.20

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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.