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Finding the Fourth Proportional to 286,037.87, 394,741.22 and 158,725.31

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Solution

The fourth proportional to 286,037.87, 394,741.22 and 158,725.31 is: 219,045.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,037.87 : 394,741.22 = 158,725.31 : x
  2. Step 2: Convert to fraction form
    286,037.87/394,741.22 = 158,725.31/x
  3. Step 3: Cross multiply
    286,037.87x = 394,741.22 × 158,725.31
  4. Step 4: Simplify right side
    286,037.87x = 62,655,419,746.95
  5. Step 5: Solve for x
    x = 62,655,419,746.95/286,037.87
  6. Step 6: Final answer
    x = 219,045.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.