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Finding the Fourth Proportional to 400,863.88, 551,933.22 and 340,309

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Solution

The fourth proportional to 400,863.88, 551,933.22 and 340,309 is: 468,557.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,863.88 : 551,933.22 = 340,309 : x
  2. Step 2: Convert to fraction form
    400,863.88/551,933.22 = 340,309/x
  3. Step 3: Cross multiply
    400,863.88x = 551,933.22 × 340,309
  4. Step 4: Simplify right side
    400,863.88x = 187,827,842,164.98
  5. Step 5: Solve for x
    x = 187,827,842,164.98/400,863.88
  6. Step 6: Final answer
    x = 468,557.66

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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.