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Finding the Fourth Proportional to 343,657.13, 515,862.80 and 273,033.74

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Solution

The fourth proportional to 343,657.13, 515,862.80 and 273,033.74 is: 409,850.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,657.13 : 515,862.80 = 273,033.74 : x
  2. Step 2: Convert to fraction form
    343,657.13/515,862.80 = 273,033.74/x
  3. Step 3: Cross multiply
    343,657.13x = 515,862.80 × 273,033.74
  4. Step 4: Simplify right side
    343,657.13x = 140,847,948,425.42
  5. Step 5: Solve for x
    x = 140,847,948,425.42/343,657.13
  6. Step 6: Final answer
    x = 409,850.21

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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.