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Finding the Fourth Proportional to 329,689.60, 494,145.60 and 171,836.80

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Solution

The fourth proportional to 329,689.60, 494,145.60 and 171,836.80 is: 257,552.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,689.60 : 494,145.60 = 171,836.80 : x
  2. Step 2: Convert to fraction form
    329,689.60/494,145.60 = 171,836.80/x
  3. Step 3: Cross multiply
    329,689.60x = 494,145.60 × 171,836.80
  4. Step 4: Simplify right side
    329,689.60x = 84,912,398,638.08
  5. Step 5: Solve for x
    x = 84,912,398,638.08/329,689.60
  6. Step 6: Final answer
    x = 257,552.55

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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.