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Finding the Fourth Proportional to 208,212.40, 312,464.40 and 133,514.20

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Solution

The fourth proportional to 208,212.40, 312,464.40 and 133,514.20 is: 200,364.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,212.40 : 312,464.40 = 133,514.20 : x
  2. Step 2: Convert to fraction form
    208,212.40/312,464.40 = 133,514.20/x
  3. Step 3: Cross multiply
    208,212.40x = 312,464.40 × 133,514.20
  4. Step 4: Simplify right side
    208,212.40x = 41,718,434,394.48
  5. Step 5: Solve for x
    x = 41,718,434,394.48/208,212.40
  6. Step 6: Final answer
    x = 200,364.79

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1.5x scale

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.