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Finding the Fourth Proportional to 274,455.88, 412,061.62 and 139,611.24

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Solution

The fourth proportional to 274,455.88, 412,061.62 and 139,611.24 is: 209,609.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,455.88 : 412,061.62 = 139,611.24 : x
  2. Step 2: Convert to fraction form
    274,455.88/412,061.62 = 139,611.24/x
  3. Step 3: Cross multiply
    274,455.88x = 412,061.62 × 139,611.24
  4. Step 4: Simplify right side
    274,455.88x = 57,528,433,724.61
  5. Step 5: Solve for x
    x = 57,528,433,724.61/274,455.88
  6. Step 6: Final answer
    x = 209,609.04

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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.