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Finding the Fourth Proportional to 286,162.42, 429,252.78 and 143,930.06

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Solution

The fourth proportional to 286,162.42, 429,252.78 and 143,930.06 is: 215,899.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,162.42 : 429,252.78 = 143,930.06 : x
  2. Step 2: Convert to fraction form
    286,162.42/429,252.78 = 143,930.06/x
  3. Step 3: Cross multiply
    286,162.42x = 429,252.78 × 143,930.06
  4. Step 4: Simplify right side
    286,162.42x = 61,782,378,380.57
  5. Step 5: Solve for x
    x = 61,782,378,380.57/286,162.42
  6. Step 6: Final answer
    x = 215,899.69

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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.