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Finding the Fourth Proportional to 394,018.80, 591,212.76 and 194,230.08

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Solution

The fourth proportional to 394,018.80, 591,212.76 and 194,230.08 is: 291,436.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,018.80 : 591,212.76 = 194,230.08 : x
  2. Step 2: Convert to fraction form
    394,018.80/591,212.76 = 194,230.08/x
  3. Step 3: Cross multiply
    394,018.80x = 591,212.76 × 194,230.08
  4. Step 4: Simplify right side
    394,018.80x = 114,831,301,671.82
  5. Step 5: Solve for x
    x = 114,831,301,671.82/394,018.80
  6. Step 6: Final answer
    x = 291,436.10

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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.