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Finding the Fourth Proportional to 286,411.83, 395,196.21 and 165,508.80

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Solution

The fourth proportional to 286,411.83, 395,196.21 and 165,508.80 is: 228,372.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,411.83 : 395,196.21 = 165,508.80 : x
  2. Step 2: Convert to fraction form
    286,411.83/395,196.21 = 165,508.80/x
  3. Step 3: Cross multiply
    286,411.83x = 395,196.21 × 165,508.80
  4. Step 4: Simplify right side
    286,411.83x = 65,408,450,481.65
  5. Step 5: Solve for x
    x = 65,408,450,481.65/286,411.83
  6. Step 6: Final answer
    x = 228,372.03

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1.5x scale

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.