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Finding the Fourth Proportional to 285,603.88, 394,123.44 and 158,291.32

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Solution

The fourth proportional to 285,603.88, 394,123.44 and 158,291.32 is: 218,436.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,603.88 : 394,123.44 = 158,291.32 : x
  2. Step 2: Convert to fraction form
    285,603.88/394,123.44 = 158,291.32/x
  3. Step 3: Cross multiply
    285,603.88x = 394,123.44 × 158,291.32
  4. Step 4: Simplify right side
    285,603.88x = 62,386,319,560.54
  5. Step 5: Solve for x
    x = 62,386,319,560.54/285,603.88
  6. Step 6: Final answer
    x = 218,436.53

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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.