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Finding the Fourth Proportional to 386,812.14, 580,086.80 and 134,033.64

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Solution

The fourth proportional to 386,812.14, 580,086.80 and 134,033.64 is: 201,004.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,812.14 : 580,086.80 = 134,033.64 : x
  2. Step 2: Convert to fraction form
    386,812.14/580,086.80 = 134,033.64/x
  3. Step 3: Cross multiply
    386,812.14x = 580,086.80 × 134,033.64
  4. Step 4: Simplify right side
    386,812.14x = 77,751,145,319.95
  5. Step 5: Solve for x
    x = 77,751,145,319.95/386,812.14
  6. Step 6: Final answer
    x = 201,004.93

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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.