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Finding the Fourth Proportional to 398,741.54, 550,273.70 and 217,461.11

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Solution

The fourth proportional to 398,741.54, 550,273.70 and 217,461.11 is: 300,101.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,741.54 : 550,273.70 = 217,461.11 : x
  2. Step 2: Convert to fraction form
    398,741.54/550,273.70 = 217,461.11/x
  3. Step 3: Cross multiply
    398,741.54x = 550,273.70 × 217,461.11
  4. Step 4: Simplify right side
    398,741.54x = 119,663,127,398.09
  5. Step 5: Solve for x
    x = 119,663,127,398.09/398,741.54
  6. Step 6: Final answer
    x = 300,101.99

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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.