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Finding the Fourth Proportional to 398,709.30, 550,232.12 and 217,431.15

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Solution

The fourth proportional to 398,709.30, 550,232.12 and 217,431.15 is: 300,062.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,709.30 : 550,232.12 = 217,431.15 : x
  2. Step 2: Convert to fraction form
    398,709.30/550,232.12 = 217,431.15/x
  3. Step 3: Cross multiply
    398,709.30x = 550,232.12 × 217,431.15
  4. Step 4: Simplify right side
    398,709.30x = 119,637,602,618.54
  5. Step 5: Solve for x
    x = 119,637,602,618.54/398,709.30
  6. Step 6: Final answer
    x = 300,062.23

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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.