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Finding the Fourth Proportional to 286,439.22, 429,251.51 and 210,965.85

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Solution

The fourth proportional to 286,439.22, 429,251.51 and 210,965.85 is: 316,148.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,439.22 : 429,251.51 = 210,965.85 : x
  2. Step 2: Convert to fraction form
    286,439.22/429,251.51 = 210,965.85/x
  3. Step 3: Cross multiply
    286,439.22x = 429,251.51 × 210,965.85
  4. Step 4: Simplify right side
    286,439.22x = 90,557,409,670.93
  5. Step 5: Solve for x
    x = 90,557,409,670.93/286,439.22
  6. Step 6: Final answer
    x = 316,148.78

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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.