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Finding the Fourth Proportional to 400,647.36, 552,872.34 and 219,324.56

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Solution

The fourth proportional to 400,647.36, 552,872.34 and 219,324.56 is: 302,656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,647.36 : 552,872.34 = 219,324.56 : x
  2. Step 2: Convert to fraction form
    400,647.36/552,872.34 = 219,324.56/x
  3. Step 3: Cross multiply
    400,647.36x = 552,872.34 × 219,324.56
  4. Step 4: Simplify right side
    400,647.36x = 121,258,482,706.67
  5. Step 5: Solve for x
    x = 121,258,482,706.67/400,647.36
  6. Step 6: Final answer
    x = 302,656.39

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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.