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Finding the Fourth Proportional to 285,820.32, 394,441.44 and 158,508

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Solution

The fourth proportional to 285,820.32, 394,441.44 and 158,508 is: 218,746.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,820.32 : 394,441.44 = 158,508 : x
  2. Step 2: Convert to fraction form
    285,820.32/394,441.44 = 158,508/x
  3. Step 3: Cross multiply
    285,820.32x = 394,441.44 × 158,508
  4. Step 4: Simplify right side
    285,820.32x = 62,522,123,771.52
  5. Step 5: Solve for x
    x = 62,522,123,771.52/285,820.32
  6. Step 6: Final answer
    x = 218,746.25

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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.