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Finding the Fourth Proportional to 414,423.84, 621,635.91 and 186,453.21

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Solution

The fourth proportional to 414,423.84, 621,635.91 and 186,453.21 is: 279,679.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,423.84 : 621,635.91 = 186,453.21 : x
  2. Step 2: Convert to fraction form
    414,423.84/621,635.91 = 186,453.21/x
  3. Step 3: Cross multiply
    414,423.84x = 621,635.91 × 186,453.21
  4. Step 4: Simplify right side
    414,423.84x = 115,906,012,502.71
  5. Step 5: Solve for x
    x = 115,906,012,502.71/414,423.84
  6. Step 6: Final answer
    x = 279,679.88

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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.