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Finding the Fourth Proportional to 315,174, 434,940.12 and 171,934.62

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Solution

The fourth proportional to 315,174, 434,940.12 and 171,934.62 is: 237,269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,174 : 434,940.12 = 171,934.62 : x
  2. Step 2: Convert to fraction form
    315,174/434,940.12 = 171,934.62/x
  3. Step 3: Cross multiply
    315,174x = 434,940.12 × 171,934.62
  4. Step 4: Simplify right side
    315,174x = 74,781,264,254.95
  5. Step 5: Solve for x
    x = 74,781,264,254.95/315,174
  6. Step 6: Final answer
    x = 237,269.78

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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.