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Finding the Fourth Proportional to 389,780.90, 584,233.95 and 221,381.90

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Solution

The fourth proportional to 389,780.90, 584,233.95 and 221,381.90 is: 331,824.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,780.90 : 584,233.95 = 221,381.90 : x
  2. Step 2: Convert to fraction form
    389,780.90/584,233.95 = 221,381.90/x
  3. Step 3: Cross multiply
    389,780.90x = 584,233.95 × 221,381.90
  4. Step 4: Simplify right side
    389,780.90x = 129,338,821,895.51
  5. Step 5: Solve for x
    x = 129,338,821,895.51/389,780.90
  6. Step 6: Final answer
    x = 331,824.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.