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Finding the Fourth Proportional to 314,351.94, 471,528.06 and 103,989.88

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Solution

The fourth proportional to 314,351.94, 471,528.06 and 103,989.88 is: 155,984.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,351.94 : 471,528.06 = 103,989.88 : x
  2. Step 2: Convert to fraction form
    314,351.94/471,528.06 = 103,989.88/x
  3. Step 3: Cross multiply
    314,351.94x = 471,528.06 × 103,989.88
  4. Step 4: Simplify right side
    314,351.94x = 49,034,145,197.21
  5. Step 5: Solve for x
    x = 49,034,145,197.21/314,351.94
  6. Step 6: Final answer
    x = 155,984.87

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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.