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Finding the Fourth Proportional to 409,621.62, 614,711.07 and 251,367.06

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Solution

The fourth proportional to 409,621.62, 614,711.07 and 251,367.06 is: 377,221.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,621.62 : 614,711.07 = 251,367.06 : x
  2. Step 2: Convert to fraction form
    409,621.62/614,711.07 = 251,367.06/x
  3. Step 3: Cross multiply
    409,621.62x = 614,711.07 × 251,367.06
  4. Step 4: Simplify right side
    409,621.62x = 154,518,114,415.35
  5. Step 5: Solve for x
    x = 154,518,114,415.35/409,621.62
  6. Step 6: Final answer
    x = 377,221.58

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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.