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Finding the Fourth Proportional to 393,649.05, 543,497.13 and 302,844.81

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Solution

The fourth proportional to 393,649.05, 543,497.13 and 302,844.81 is: 418,126.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,649.05 : 543,497.13 = 302,844.81 : x
  2. Step 2: Convert to fraction form
    393,649.05/543,497.13 = 302,844.81/x
  3. Step 3: Cross multiply
    393,649.05x = 543,497.13 × 302,844.81
  4. Step 4: Simplify right side
    393,649.05x = 164,595,285,070.40
  5. Step 5: Solve for x
    x = 164,595,285,070.40/393,649.05
  6. Step 6: Final answer
    x = 418,126.97

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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.