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Finding the Fourth Proportional to 329,725.80, 494,423.10 and 161,258.76

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Solution

The fourth proportional to 329,725.80, 494,423.10 and 161,258.76 is: 241,807.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,725.80 : 494,423.10 = 161,258.76 : x
  2. Step 2: Convert to fraction form
    329,725.80/494,423.10 = 161,258.76/x
  3. Step 3: Cross multiply
    329,725.80x = 494,423.10 × 161,258.76
  4. Step 4: Simplify right side
    329,725.80x = 79,730,056,021.36
  5. Step 5: Solve for x
    x = 79,730,056,021.36/329,725.80
  6. Step 6: Final answer
    x = 241,807.15

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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.