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Finding the Fourth Proportional to 394,513.60, 591,381.60 and 194,864.80

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Solution

The fourth proportional to 394,513.60, 591,381.60 and 194,864.80 is: 292,105.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,513.60 : 591,381.60 = 194,864.80 : x
  2. Step 2: Convert to fraction form
    394,513.60/591,381.60 = 194,864.80/x
  3. Step 3: Cross multiply
    394,513.60x = 591,381.60 × 194,864.80
  4. Step 4: Simplify right side
    394,513.60x = 115,239,457,207.68
  5. Step 5: Solve for x
    x = 115,239,457,207.68/394,513.60
  6. Step 6: Final answer
    x = 292,105.16

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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.