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Finding the Fourth Proportional to 709,042.44, 978,487.02 and 422,727.24

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Solution

The fourth proportional to 709,042.44, 978,487.02 and 422,727.24 is: 583,368.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,042.44 : 978,487.02 = 422,727.24 : x
  2. Step 2: Convert to fraction form
    709,042.44/978,487.02 = 422,727.24/x
  3. Step 3: Cross multiply
    709,042.44x = 978,487.02 × 422,727.24
  4. Step 4: Simplify right side
    709,042.44x = 413,633,117,340.43
  5. Step 5: Solve for x
    x = 413,633,117,340.43/709,042.44
  6. Step 6: Final answer
    x = 583,368.63

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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.