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Finding the Fourth Proportional to 398,709.99, 550,233.08 and 217,431.83

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Solution

The fourth proportional to 398,709.99, 550,233.08 and 217,431.83 is: 300,063.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,709.99 : 550,233.08 = 217,431.83 : x
  2. Step 2: Convert to fraction form
    398,709.99/550,233.08 = 217,431.83/x
  3. Step 3: Cross multiply
    398,709.99x = 550,233.08 × 217,431.83
  4. Step 4: Simplify right side
    398,709.99x = 119,638,181,672.61
  5. Step 5: Solve for x
    x = 119,638,181,672.61/398,709.99
  6. Step 6: Final answer
    x = 300,063.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.