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Finding the Fourth Proportional to 253,690.40, 380,553.84 and 87,476

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Solution

The fourth proportional to 253,690.40, 380,553.84 and 87,476 is: 131,220.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,690.40 : 380,553.84 = 87,476 : x
  2. Step 2: Convert to fraction form
    253,690.40/380,553.84 = 87,476/x
  3. Step 3: Cross multiply
    253,690.40x = 380,553.84 × 87,476
  4. Step 4: Simplify right side
    253,690.40x = 33,289,327,707.84
  5. Step 5: Solve for x
    x = 33,289,327,707.84/253,690.40
  6. Step 6: Final answer
    x = 131,220.29

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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.