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Finding the Fourth Proportional to 285,893.16, 394,579.80 and 158,609.76

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Solution

The fourth proportional to 285,893.16, 394,579.80 and 158,609.76 is: 218,907.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,893.16 : 394,579.80 = 158,609.76 : x
  2. Step 2: Convert to fraction form
    285,893.16/394,579.80 = 158,609.76/x
  3. Step 3: Cross multiply
    285,893.16x = 394,579.80 × 158,609.76
  4. Step 4: Simplify right side
    285,893.16x = 62,584,207,378.85
  5. Step 5: Solve for x
    x = 62,584,207,378.85/285,893.16
  6. Step 6: Final answer
    x = 218,907.68

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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.