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Finding the Fourth Proportional to 314,364.98, 471,282.92 and 136,738.20

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Solution

The fourth proportional to 314,364.98, 471,282.92 and 136,738.20 is: 204,992.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,364.98 : 471,282.92 = 136,738.20 : x
  2. Step 2: Convert to fraction form
    314,364.98/471,282.92 = 136,738.20/x
  3. Step 3: Cross multiply
    314,364.98x = 471,282.92 × 136,738.20
  4. Step 4: Simplify right side
    314,364.98x = 64,442,378,171.54
  5. Step 5: Solve for x
    x = 64,442,378,171.54/314,364.98
  6. Step 6: Final answer
    x = 204,992.23

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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.