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Finding the Fourth Proportional to 354,302.26, 488,940.81 and 193,156.42

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Solution

The fourth proportional to 354,302.26, 488,940.81 and 193,156.42 is: 266,557.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,302.26 : 488,940.81 = 193,156.42 : x
  2. Step 2: Convert to fraction form
    354,302.26/488,940.81 = 193,156.42/x
  3. Step 3: Cross multiply
    354,302.26x = 488,940.81 × 193,156.42
  4. Step 4: Simplify right side
    354,302.26x = 94,442,056,451.50
  5. Step 5: Solve for x
    x = 94,442,056,451.50/354,302.26
  6. Step 6: Final answer
    x = 266,557.87

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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.