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Finding the Fourth Proportional to 286,690.66, 430,037.37 and 87,012.78

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Solution

The fourth proportional to 286,690.66, 430,037.37 and 87,012.78 is: 130,519.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,690.66 : 430,037.37 = 87,012.78 : x
  2. Step 2: Convert to fraction form
    286,690.66/430,037.37 = 87,012.78/x
  3. Step 3: Cross multiply
    286,690.66x = 430,037.37 × 87,012.78
  4. Step 4: Simplify right side
    286,690.66x = 37,418,747,067.59
  5. Step 5: Solve for x
    x = 37,418,747,067.59/286,690.66
  6. Step 6: Final answer
    x = 130,519.59

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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.