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Finding the Fourth Proportional to 398,804.40, 550,356.63 and 217,516.33

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Solution

The fourth proportional to 398,804.40, 550,356.63 and 217,516.33 is: 300,176.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,804.40 : 550,356.63 = 217,516.33 : x
  2. Step 2: Convert to fraction form
    398,804.40/550,356.63 = 217,516.33/x
  3. Step 3: Cross multiply
    398,804.40x = 550,356.63 × 217,516.33
  4. Step 4: Simplify right side
    398,804.40x = 119,711,552,429.09
  5. Step 5: Solve for x
    x = 119,711,552,429.09/398,804.40
  6. Step 6: Final answer
    x = 300,176.11

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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.