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Finding the Fourth Proportional to 384,761.34, 531,118.71 and 344,403.90

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Solution

The fourth proportional to 384,761.34, 531,118.71 and 344,403.90 is: 475,409.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,761.34 : 531,118.71 = 344,403.90 : x
  2. Step 2: Convert to fraction form
    384,761.34/531,118.71 = 344,403.90/x
  3. Step 3: Cross multiply
    384,761.34x = 531,118.71 × 344,403.90
  4. Step 4: Simplify right side
    384,761.34x = 182,919,355,086.97
  5. Step 5: Solve for x
    x = 182,919,355,086.97/384,761.34
  6. Step 6: Final answer
    x = 475,409.91

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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.