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Finding the Fourth Proportional to 389,409.36, 537,391.92 and 228,380.58

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Solution

The fourth proportional to 389,409.36, 537,391.92 and 228,380.58 is: 315,169.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,409.36 : 537,391.92 = 228,380.58 : x
  2. Step 2: Convert to fraction form
    389,409.36/537,391.92 = 228,380.58/x
  3. Step 3: Cross multiply
    389,409.36x = 537,391.92 × 228,380.58
  4. Step 4: Simplify right side
    389,409.36x = 122,729,878,376.91
  5. Step 5: Solve for x
    x = 122,729,878,376.91/389,409.36
  6. Step 6: Final answer
    x = 315,169.31

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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.