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Finding the Fourth Proportional to 295,675, 408,031.50 and 161,539

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Solution

The fourth proportional to 295,675, 408,031.50 and 161,539 is: 222,923.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,675 : 408,031.50 = 161,539 : x
  2. Step 2: Convert to fraction form
    295,675/408,031.50 = 161,539/x
  3. Step 3: Cross multiply
    295,675x = 408,031.50 × 161,539
  4. Step 4: Simplify right side
    295,675x = 65,913,000,478.50
  5. Step 5: Solve for x
    x = 65,913,000,478.50/295,675
  6. Step 6: Final answer
    x = 222,923.82

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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.