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Finding the Fourth Proportional to 398,558.19, 550,005.75 and 217,266.12

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Solution

The fourth proportional to 398,558.19, 550,005.75 and 217,266.12 is: 299,824.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,558.19 : 550,005.75 = 217,266.12 : x
  2. Step 2: Convert to fraction form
    398,558.19/550,005.75 = 217,266.12/x
  3. Step 3: Cross multiply
    398,558.19x = 550,005.75 × 217,266.12
  4. Step 4: Simplify right side
    398,558.19x = 119,497,612,530.16
  5. Step 5: Solve for x
    x = 119,497,612,530.16/398,558.19
  6. Step 6: Final answer
    x = 299,824.76

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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.