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Finding the Fourth Proportional to 415,282.82, 622,410.29 and 295,148.30

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Solution

The fourth proportional to 415,282.82, 622,410.29 and 295,148.30 is: 442,357.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,282.82 : 622,410.29 = 295,148.30 : x
  2. Step 2: Convert to fraction form
    415,282.82/622,410.29 = 295,148.30/x
  3. Step 3: Cross multiply
    415,282.82x = 622,410.29 × 295,148.30
  4. Step 4: Simplify right side
    415,282.82x = 183,703,337,520.27
  5. Step 5: Solve for x
    x = 183,703,337,520.27/415,282.82
  6. Step 6: Final answer
    x = 442,357.18

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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.