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Finding the Fourth Proportional to 272,612.84, 409,288.01 and 188,163.04

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Solution

The fourth proportional to 272,612.84, 409,288.01 and 188,163.04 is: 282,499.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,612.84 : 409,288.01 = 188,163.04 : x
  2. Step 2: Convert to fraction form
    272,612.84/409,288.01 = 188,163.04/x
  3. Step 3: Cross multiply
    272,612.84x = 409,288.01 × 188,163.04
  4. Step 4: Simplify right side
    272,612.84x = 77,012,876,197.15
  5. Step 5: Solve for x
    x = 77,012,876,197.15/272,612.84
  6. Step 6: Final answer
    x = 282,499.08

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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.