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Finding the Fourth Proportional to 394,530.60, 591,407.10 and 194,881.80

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Solution

The fourth proportional to 394,530.60, 591,407.10 and 194,881.80 is: 292,130.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,530.60 : 591,407.10 = 194,881.80 : x
  2. Step 2: Convert to fraction form
    394,530.60/591,407.10 = 194,881.80/x
  3. Step 3: Cross multiply
    394,530.60x = 591,407.10 × 194,881.80
  4. Step 4: Simplify right side
    394,530.60x = 115,254,480,180.78
  5. Step 5: Solve for x
    x = 115,254,480,180.78/394,530.60
  6. Step 6: Final answer
    x = 292,130.65

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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.