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Finding the Fourth Proportional to 400,701.22, 552,943.23 and 219,415.30

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Solution

The fourth proportional to 400,701.22, 552,943.23 and 219,415.30 is: 302,779.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,701.22 : 552,943.23 = 219,415.30 : x
  2. Step 2: Convert to fraction form
    400,701.22/552,943.23 = 219,415.30/x
  3. Step 3: Cross multiply
    400,701.22x = 552,943.23 × 219,415.30
  4. Step 4: Simplify right side
    400,701.22x = 121,324,204,693.42
  5. Step 5: Solve for x
    x = 121,324,204,693.42/400,701.22
  6. Step 6: Final answer
    x = 302,779.72

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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.