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Finding the Fourth Proportional to 253,815.78, 380,455.76 and 85,176.22

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Solution

The fourth proportional to 253,815.78, 380,455.76 and 85,176.22 is: 127,674.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,815.78 : 380,455.76 = 85,176.22 : x
  2. Step 2: Convert to fraction form
    253,815.78/380,455.76 = 85,176.22/x
  3. Step 3: Cross multiply
    253,815.78x = 380,455.76 × 85,176.22
  4. Step 4: Simplify right side
    253,815.78x = 32,405,783,514.03
  5. Step 5: Solve for x
    x = 32,405,783,514.03/253,815.78
  6. Step 6: Final answer
    x = 127,674.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.