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Finding the Fourth Proportional to 286,074.72, 394,787.52 and 158,755.68

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Solution

The fourth proportional to 286,074.72, 394,787.52 and 158,755.68 is: 219,085.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,074.72 : 394,787.52 = 158,755.68 : x
  2. Step 2: Convert to fraction form
    286,074.72/394,787.52 = 158,755.68/x
  3. Step 3: Cross multiply
    286,074.72x = 394,787.52 × 158,755.68
  4. Step 4: Simplify right side
    286,074.72x = 62,674,761,193.11
  5. Step 5: Solve for x
    x = 62,674,761,193.11/286,074.72
  6. Step 6: Final answer
    x = 219,085.28

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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.