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Finding the Fourth Proportional to 400,647.05, 552,893 and 219,370.67

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Solution

The fourth proportional to 400,647.05, 552,893 and 219,370.67 is: 302,731.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,647.05 : 552,893 = 219,370.67 : x
  2. Step 2: Convert to fraction form
    400,647.05/552,893 = 219,370.67/x
  3. Step 3: Cross multiply
    400,647.05x = 552,893 × 219,370.67
  4. Step 4: Simplify right side
    400,647.05x = 121,288,507,848.31
  5. Step 5: Solve for x
    x = 121,288,507,848.31/400,647.05
  6. Step 6: Final answer
    x = 302,731.56

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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.