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Finding the Fourth Proportional to 400,436.38, 552,594.81 and 219,144.67

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Solution

The fourth proportional to 400,436.38, 552,594.81 and 219,144.67 is: 302,415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,436.38 : 552,594.81 = 219,144.67 : x
  2. Step 2: Convert to fraction form
    400,436.38/552,594.81 = 219,144.67/x
  3. Step 3: Cross multiply
    400,436.38x = 552,594.81 × 219,144.67
  4. Step 4: Simplify right side
    400,436.38x = 121,098,204,518.19
  5. Step 5: Solve for x
    x = 121,098,204,518.19/400,436.38
  6. Step 6: Final answer
    x = 302,415.59

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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.