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Finding the Fourth Proportional to 389,836.40, 537,978.71 and 228,694.19

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Solution

The fourth proportional to 389,836.40, 537,978.71 and 228,694.19 is: 315,600.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,836.40 : 537,978.71 = 228,694.19 : x
  2. Step 2: Convert to fraction form
    389,836.40/537,978.71 = 228,694.19/x
  3. Step 3: Cross multiply
    389,836.40x = 537,978.71 × 228,694.19
  4. Step 4: Simplify right side
    389,836.40x = 123,032,603,202.54
  5. Step 5: Solve for x
    x = 123,032,603,202.54/389,836.40
  6. Step 6: Final answer
    x = 315,600.61

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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.