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Finding the Fourth Proportional to 394,075.54, 591,199.80 and 127,862.92

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Solution

The fourth proportional to 394,075.54, 591,199.80 and 127,862.92 is: 191,822.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,075.54 : 591,199.80 = 127,862.92 : x
  2. Step 2: Convert to fraction form
    394,075.54/591,199.80 = 127,862.92/x
  3. Step 3: Cross multiply
    394,075.54x = 591,199.80 × 127,862.92
  4. Step 4: Simplify right side
    394,075.54x = 75,592,532,731.42
  5. Step 5: Solve for x
    x = 75,592,532,731.42/394,075.54
  6. Step 6: Final answer
    x = 191,822.44

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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.