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Finding the Fourth Proportional to 223,208.40, 334,774.20 and 82,894.80

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Solution

The fourth proportional to 223,208.40, 334,774.20 and 82,894.80 is: 124,327.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,208.40 : 334,774.20 = 82,894.80 : x
  2. Step 2: Convert to fraction form
    223,208.40/334,774.20 = 82,894.80/x
  3. Step 3: Cross multiply
    223,208.40x = 334,774.20 × 82,894.80
  4. Step 4: Simplify right side
    223,208.40x = 27,751,040,354.16
  5. Step 5: Solve for x
    x = 27,751,040,354.16/223,208.40
  6. Step 6: Final answer
    x = 124,327.94

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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.