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Finding the Fourth Proportional to 343,816.32, 515,797.92 and 107,153.76

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Solution

The fourth proportional to 343,816.32, 515,797.92 and 107,153.76 is: 160,753.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,816.32 : 515,797.92 = 107,153.76 : x
  2. Step 2: Convert to fraction form
    343,816.32/515,797.92 = 107,153.76/x
  3. Step 3: Cross multiply
    343,816.32x = 515,797.92 × 107,153.76
  4. Step 4: Simplify right side
    343,816.32x = 55,269,686,528.18
  5. Step 5: Solve for x
    x = 55,269,686,528.18/343,816.32
  6. Step 6: Final answer
    x = 160,753.53

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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.