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Finding the Fourth Proportional to 614,219.40, 921,912.30 and 378,023.40

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Solution

The fourth proportional to 614,219.40, 921,912.30 and 378,023.40 is: 567,394.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,219.40 : 921,912.30 = 378,023.40 : x
  2. Step 2: Convert to fraction form
    614,219.40/921,912.30 = 378,023.40/x
  3. Step 3: Cross multiply
    614,219.40x = 921,912.30 × 378,023.40
  4. Step 4: Simplify right side
    614,219.40x = 348,504,422,147.82
  5. Step 5: Solve for x
    x = 348,504,422,147.82/614,219.40
  6. Step 6: Final answer
    x = 567,394.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.