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Finding the Fourth Proportional to 304,065.17, 419,621.77 and 201,914.50

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Solution

The fourth proportional to 304,065.17, 419,621.77 and 201,914.50 is: 278,649.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,065.17 : 419,621.77 = 201,914.50 : x
  2. Step 2: Convert to fraction form
    304,065.17/419,621.77 = 201,914.50/x
  3. Step 3: Cross multiply
    304,065.17x = 419,621.77 × 201,914.50
  4. Step 4: Simplify right side
    304,065.17x = 84,727,719,878.67
  5. Step 5: Solve for x
    x = 84,727,719,878.67/304,065.17
  6. Step 6: Final answer
    x = 278,649.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.