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Finding the Fourth Proportional to 286,380.54, 429,537.15 and 76,034.70

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Solution

The fourth proportional to 286,380.54, 429,537.15 and 76,034.70 is: 114,043.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,380.54 : 429,537.15 = 76,034.70 : x
  2. Step 2: Convert to fraction form
    286,380.54/429,537.15 = 76,034.70/x
  3. Step 3: Cross multiply
    286,380.54x = 429,537.15 × 76,034.70
  4. Step 4: Simplify right side
    286,380.54x = 32,659,728,339.11
  5. Step 5: Solve for x
    x = 32,659,728,339.11/286,380.54
  6. Step 6: Final answer
    x = 114,043.11

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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.