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Finding the Fourth Proportional to 286,489.76, 429,467.52 and 96,817.48

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Solution

The fourth proportional to 286,489.76, 429,467.52 and 96,817.48 is: 145,135.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,489.76 : 429,467.52 = 96,817.48 : x
  2. Step 2: Convert to fraction form
    286,489.76/429,467.52 = 96,817.48/x
  3. Step 3: Cross multiply
    286,489.76x = 429,467.52 × 96,817.48
  4. Step 4: Simplify right side
    286,489.76x = 41,579,962,544.16
  5. Step 5: Solve for x
    x = 41,579,962,544.16/286,489.76
  6. Step 6: Final answer
    x = 145,135.95

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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.