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Finding the Fourth Proportional to 709,177.59, 978,531.21 and 422,724.33

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Solution

The fourth proportional to 709,177.59, 978,531.21 and 422,724.33 is: 583,279.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,177.59 : 978,531.21 = 422,724.33 : x
  2. Step 2: Convert to fraction form
    709,177.59/978,531.21 = 422,724.33/x
  3. Step 3: Cross multiply
    709,177.59x = 978,531.21 × 422,724.33
  4. Step 4: Simplify right side
    709,177.59x = 413,648,950,131.34
  5. Step 5: Solve for x
    x = 413,648,950,131.34/709,177.59
  6. Step 6: Final answer
    x = 583,279.78

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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.