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Finding the Fourth Proportional to 314,351.75, 471,527.78 and 103,989.69

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Solution

The fourth proportional to 314,351.75, 471,527.78 and 103,989.69 is: 155,984.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,351.75 : 471,527.78 = 103,989.69 : x
  2. Step 2: Convert to fraction form
    314,351.75/471,527.78 = 103,989.69/x
  3. Step 3: Cross multiply
    314,351.75x = 471,527.78 × 103,989.69
  4. Step 4: Simplify right side
    314,351.75x = 49,034,027,928.56
  5. Step 5: Solve for x
    x = 49,034,027,928.56/314,351.75
  6. Step 6: Final answer
    x = 155,984.59

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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.