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Finding the Fourth Proportional to 380,910.87, 571,487.00 and 229,274.01

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Solution

The fourth proportional to 380,910.87, 571,487.00 and 229,274.01 is: 343,983.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,910.87 : 571,487.00 = 229,274.01 : x
  2. Step 2: Convert to fraction form
    380,910.87/571,487.00 = 229,274.01/x
  3. Step 3: Cross multiply
    380,910.87x = 571,487.00 × 229,274.01
  4. Step 4: Simplify right side
    380,910.87x = 131,027,115,006.50
  5. Step 5: Solve for x
    x = 131,027,115,006.50/380,910.87
  6. Step 6: Final answer
    x = 343,983.66

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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.