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Finding the Fourth Proportional to 398,726.46, 550,242.09 and 217,438.74

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Solution

The fourth proportional to 398,726.46, 550,242.09 and 217,438.74 is: 300,065.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,726.46 : 550,242.09 = 217,438.74 : x
  2. Step 2: Convert to fraction form
    398,726.46/550,242.09 = 217,438.74/x
  3. Step 3: Cross multiply
    398,726.46x = 550,242.09 × 217,438.74
  4. Step 4: Simplify right side
    398,726.46x = 119,643,946,744.57
  5. Step 5: Solve for x
    x = 119,643,946,744.57/398,726.46
  6. Step 6: Final answer
    x = 300,065.23

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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.