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Finding the Fourth Proportional to 253,748.88, 380,384.89 and 85,150.96

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Solution

The fourth proportional to 253,748.88, 380,384.89 and 85,150.96 is: 127,646.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,748.88 : 380,384.89 = 85,150.96 : x
  2. Step 2: Convert to fraction form
    253,748.88/380,384.89 = 85,150.96/x
  3. Step 3: Cross multiply
    253,748.88x = 380,384.89 × 85,150.96
  4. Step 4: Simplify right side
    253,748.88x = 32,390,138,552.99
  5. Step 5: Solve for x
    x = 32,390,138,552.99/253,748.88
  6. Step 6: Final answer
    x = 127,646.43

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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.