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Finding the Fourth Proportional to 409,981.20, 614,971.80 and 251,696.40

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Solution

The fourth proportional to 409,981.20, 614,971.80 and 251,696.40 is: 377,544.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,981.20 : 614,971.80 = 251,696.40 : x
  2. Step 2: Convert to fraction form
    409,981.20/614,971.80 = 251,696.40/x
  3. Step 3: Cross multiply
    409,981.20x = 614,971.80 × 251,696.40
  4. Step 4: Simplify right side
    409,981.20x = 154,786,188,161.52
  5. Step 5: Solve for x
    x = 154,786,188,161.52/409,981.20
  6. Step 6: Final answer
    x = 377,544.60

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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.