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Finding the Fourth Proportional to 310,065.84, 427,937.67 and 189,277.43

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Solution

The fourth proportional to 310,065.84, 427,937.67 and 189,277.43 is: 261,231.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,065.84 : 427,937.67 = 189,277.43 : x
  2. Step 2: Convert to fraction form
    310,065.84/427,937.67 = 189,277.43/x
  3. Step 3: Cross multiply
    310,065.84x = 427,937.67 × 189,277.43
  4. Step 4: Simplify right side
    310,065.84x = 80,998,940,238.10
  5. Step 5: Solve for x
    x = 80,998,940,238.10/310,065.84
  6. Step 6: Final answer
    x = 261,231.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.