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Finding the Fourth Proportional to 400,642.11, 552,865.10 and 219,319.31

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Solution

The fourth proportional to 400,642.11, 552,865.10 and 219,319.31 is: 302,649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,642.11 : 552,865.10 = 219,319.31 : x
  2. Step 2: Convert to fraction form
    400,642.11/552,865.10 = 219,319.31/x
  3. Step 3: Cross multiply
    400,642.11x = 552,865.10 × 219,319.31
  4. Step 4: Simplify right side
    400,642.11x = 121,253,988,394.16
  5. Step 5: Solve for x
    x = 121,253,988,394.16/400,642.11
  6. Step 6: Final answer
    x = 302,649.14

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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.