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Finding the Fourth Proportional to 382,039.54, 527,191.41 and 212,267.86

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Solution

The fourth proportional to 382,039.54, 527,191.41 and 212,267.86 is: 292,916.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,039.54 : 527,191.41 = 212,267.86 : x
  2. Step 2: Convert to fraction form
    382,039.54/527,191.41 = 212,267.86/x
  3. Step 3: Cross multiply
    382,039.54x = 527,191.41 × 212,267.86
  4. Step 4: Simplify right side
    382,039.54x = 111,905,792,411.08
  5. Step 5: Solve for x
    x = 111,905,792,411.08/382,039.54
  6. Step 6: Final answer
    x = 292,916.78

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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.