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Finding the Fourth Proportional to 286,447.24, 429,933.30 and 285,375.61

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Solution

The fourth proportional to 286,447.24, 429,933.30 and 285,375.61 is: 428,324.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,447.24 : 429,933.30 = 285,375.61 : x
  2. Step 2: Convert to fraction form
    286,447.24/429,933.30 = 285,375.61/x
  3. Step 3: Cross multiply
    286,447.24x = 429,933.30 × 285,375.61
  4. Step 4: Simplify right side
    286,447.24x = 122,692,477,746.81
  5. Step 5: Solve for x
    x = 122,692,477,746.81/286,447.24
  6. Step 6: Final answer
    x = 428,324.87

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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.