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Finding the Fourth Proportional to 253,816.78, 380,457.26 and 85,177.22

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Solution

The fourth proportional to 253,816.78, 380,457.26 and 85,177.22 is: 127,675.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,816.78 : 380,457.26 = 85,177.22 : x
  2. Step 2: Convert to fraction form
    253,816.78/380,457.26 = 85,177.22/x
  3. Step 3: Cross multiply
    253,816.78x = 380,457.26 × 85,177.22
  4. Step 4: Simplify right side
    253,816.78x = 32,406,291,735.62
  5. Step 5: Solve for x
    x = 32,406,291,735.62/253,816.78
  6. Step 6: Final answer
    x = 127,675.92

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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.