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Finding the Fourth Proportional to 382,503.82, 527,822.73 and 221,368.85

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Solution

The fourth proportional to 382,503.82, 527,822.73 and 221,368.85 is: 305,470.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,503.82 : 527,822.73 = 221,368.85 : x
  2. Step 2: Convert to fraction form
    382,503.82/527,822.73 = 221,368.85/x
  3. Step 3: Cross multiply
    382,503.82x = 527,822.73 × 221,368.85
  4. Step 4: Simplify right side
    382,503.82x = 116,843,510,084.18
  5. Step 5: Solve for x
    x = 116,843,510,084.18/382,503.82
  6. Step 6: Final answer
    x = 305,470.18

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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.