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Finding the Fourth Proportional to 398,843.76, 550,406.10 and 217,559.64

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Solution

The fourth proportional to 398,843.76, 550,406.10 and 217,559.64 is: 300,233.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,843.76 : 550,406.10 = 217,559.64 : x
  2. Step 2: Convert to fraction form
    398,843.76/550,406.10 = 217,559.64/x
  3. Step 3: Cross multiply
    398,843.76x = 550,406.10 × 217,559.64
  4. Step 4: Simplify right side
    398,843.76x = 119,746,152,969.80
  5. Step 5: Solve for x
    x = 119,746,152,969.80/398,843.76
  6. Step 6: Final answer
    x = 300,233.24

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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.