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Finding the Fourth Proportional to 386,643.38, 580,012.45 and 120,361.55

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Solution

The fourth proportional to 386,643.38, 580,012.45 and 120,361.55 is: 180,557.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,643.38 : 580,012.45 = 120,361.55 : x
  2. Step 2: Convert to fraction form
    386,643.38/580,012.45 = 120,361.55/x
  3. Step 3: Cross multiply
    386,643.38x = 580,012.45 × 120,361.55
  4. Step 4: Simplify right side
    386,643.38x = 69,811,194,300.33
  5. Step 5: Solve for x
    x = 69,811,194,300.33/386,643.38
  6. Step 6: Final answer
    x = 180,557.07

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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.