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Finding the Fourth Proportional to 389,813.72, 537,938.82 and 228,637.89

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Solution

The fourth proportional to 389,813.72, 537,938.82 and 228,637.89 is: 315,517.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,813.72 : 537,938.82 = 228,637.89 : x
  2. Step 2: Convert to fraction form
    389,813.72/537,938.82 = 228,637.89/x
  3. Step 3: Cross multiply
    389,813.72x = 537,938.82 × 228,637.89
  4. Step 4: Simplify right side
    389,813.72x = 122,993,196,753.89
  5. Step 5: Solve for x
    x = 122,993,196,753.89/389,813.72
  6. Step 6: Final answer
    x = 315,517.88

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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.