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Finding the Fourth Proportional to 285,408, 393,863.04 and 158,091.80

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Solution

The fourth proportional to 285,408, 393,863.04 and 158,091.80 is: 218,166.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,408 : 393,863.04 = 158,091.80 : x
  2. Step 2: Convert to fraction form
    285,408/393,863.04 = 158,091.80/x
  3. Step 3: Cross multiply
    285,408x = 393,863.04 × 158,091.80
  4. Step 4: Simplify right side
    285,408x = 62,266,514,977.76
  5. Step 5: Solve for x
    x = 62,266,514,977.76/285,408
  6. Step 6: Final answer
    x = 218,166.68

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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.