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Finding the Fourth Proportional to 343,895.70, 515,843.55 and 255,322.20

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Solution

The fourth proportional to 343,895.70, 515,843.55 and 255,322.20 is: 382,983.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,895.70 : 515,843.55 = 255,322.20 : x
  2. Step 2: Convert to fraction form
    343,895.70/515,843.55 = 255,322.20/x
  3. Step 3: Cross multiply
    343,895.70x = 515,843.55 × 255,322.20
  4. Step 4: Simplify right side
    343,895.70x = 131,706,310,041.81
  5. Step 5: Solve for x
    x = 131,706,310,041.81/343,895.70
  6. Step 6: Final answer
    x = 382,983.30

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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.