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Finding the Fourth Proportional to 289,225.28, 399,153.93 and 213,092.17

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Solution

The fourth proportional to 289,225.28, 399,153.93 and 213,092.17 is: 294,084.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,225.28 : 399,153.93 = 213,092.17 : x
  2. Step 2: Convert to fraction form
    289,225.28/399,153.93 = 213,092.17/x
  3. Step 3: Cross multiply
    289,225.28x = 399,153.93 × 213,092.17
  4. Step 4: Simplify right side
    289,225.28x = 85,056,575,310.75
  5. Step 5: Solve for x
    x = 85,056,575,310.75/289,225.28
  6. Step 6: Final answer
    x = 294,084.16

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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.