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Finding the Fourth Proportional to 398,709.61, 550,232.55 and 217,431.46

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Solution

The fourth proportional to 398,709.61, 550,232.55 and 217,431.46 is: 300,062.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,709.61 : 550,232.55 = 217,431.46 : x
  2. Step 2: Convert to fraction form
    398,709.61/550,232.55 = 217,431.46/x
  3. Step 3: Cross multiply
    398,709.61x = 550,232.55 × 217,431.46
  4. Step 4: Simplify right side
    398,709.61x = 119,637,865,310.44
  5. Step 5: Solve for x
    x = 119,637,865,310.44/398,709.61
  6. Step 6: Final answer
    x = 300,062.66

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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.