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Finding the Fourth Proportional to 394,751.80, 592,361.10 and 145,608.76

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Solution

The fourth proportional to 394,751.80, 592,361.10 and 145,608.76 is: 218,499.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,751.80 : 592,361.10 = 145,608.76 : x
  2. Step 2: Convert to fraction form
    394,751.80/592,361.10 = 145,608.76/x
  3. Step 3: Cross multiply
    394,751.80x = 592,361.10 × 145,608.76
  4. Step 4: Simplify right side
    394,751.80x = 86,252,965,243.24
  5. Step 5: Solve for x
    x = 86,252,965,243.24/394,751.80
  6. Step 6: Final answer
    x = 218,499.23

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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.