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Finding the Fourth Proportional to 305,909.84, 422,109.96 and 171,747.92

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Solution

The fourth proportional to 305,909.84, 422,109.96 and 171,747.92 is: 236,986.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,909.84 : 422,109.96 = 171,747.92 : x
  2. Step 2: Convert to fraction form
    305,909.84/422,109.96 = 171,747.92/x
  3. Step 3: Cross multiply
    305,909.84x = 422,109.96 × 171,747.92
  4. Step 4: Simplify right side
    305,909.84x = 72,496,507,641.28
  5. Step 5: Solve for x
    x = 72,496,507,641.28/305,909.84
  6. Step 6: Final answer
    x = 236,986.52

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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.