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Finding the Fourth Proportional to 382,505.82, 527,825.48 and 221,370.84

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Solution

The fourth proportional to 382,505.82, 527,825.48 and 221,370.84 is: 305,472.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,505.82 : 527,825.48 = 221,370.84 : x
  2. Step 2: Convert to fraction form
    382,505.82/527,825.48 = 221,370.84/x
  3. Step 3: Cross multiply
    382,505.82x = 527,825.48 × 221,370.84
  4. Step 4: Simplify right side
    382,505.82x = 116,845,169,881.00
  5. Step 5: Solve for x
    x = 116,845,169,881.00/382,505.82
  6. Step 6: Final answer
    x = 305,472.92

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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.