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Finding the Fourth Proportional to 286,640.10, 429,969.87 and 76,278.24

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Solution

The fourth proportional to 286,640.10, 429,969.87 and 76,278.24 is: 114,419.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,640.10 : 429,969.87 = 76,278.24 : x
  2. Step 2: Convert to fraction form
    286,640.10/429,969.87 = 76,278.24/x
  3. Step 3: Cross multiply
    286,640.10x = 429,969.87 × 76,278.24
  4. Step 4: Simplify right side
    286,640.10x = 32,797,344,936.63
  5. Step 5: Solve for x
    x = 32,797,344,936.63/286,640.10
  6. Step 6: Final answer
    x = 114,419.95

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1.5x scale

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.