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Finding the Fourth Proportional to 382,176.90, 527,433.53 and 229,220.96

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Solution

The fourth proportional to 382,176.90, 527,433.53 and 229,220.96 is: 316,342.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,176.90 : 527,433.53 = 229,220.96 : x
  2. Step 2: Convert to fraction form
    382,176.90/527,433.53 = 229,220.96/x
  3. Step 3: Cross multiply
    382,176.90x = 527,433.53 × 229,220.96
  4. Step 4: Simplify right side
    382,176.90x = 120,898,816,299.52
  5. Step 5: Solve for x
    x = 120,898,816,299.52/382,176.90
  6. Step 6: Final answer
    x = 316,342.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.