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Finding the Fourth Proportional to 286,286.52, 429,520.50 and 223,322.52

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Solution

The fourth proportional to 286,286.52, 429,520.50 and 223,322.52 is: 335,054.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,286.52 : 429,520.50 = 223,322.52 : x
  2. Step 2: Convert to fraction form
    286,286.52/429,520.50 = 223,322.52/x
  3. Step 3: Cross multiply
    286,286.52x = 429,520.50 × 223,322.52
  4. Step 4: Simplify right side
    286,286.52x = 95,921,600,451.66
  5. Step 5: Solve for x
    x = 95,921,600,451.66/286,286.52
  6. Step 6: Final answer
    x = 335,054.55

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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.