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Finding the Fourth Proportional to 286,698.26, 395,667.52 and 159,385.70

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Solution

The fourth proportional to 286,698.26, 395,667.52 and 159,385.70 is: 219,965.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,698.26 : 395,667.52 = 159,385.70 : x
  2. Step 2: Convert to fraction form
    286,698.26/395,667.52 = 159,385.70/x
  3. Step 3: Cross multiply
    286,698.26x = 395,667.52 × 159,385.70
  4. Step 4: Simplify right side
    286,698.26x = 63,063,744,642.46
  5. Step 5: Solve for x
    x = 63,063,744,642.46/286,698.26
  6. Step 6: Final answer
    x = 219,965.56

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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.