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Finding the Fourth Proportional to 496,141.20, 684,628.20 and 343,342.80

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Solution

The fourth proportional to 496,141.20, 684,628.20 and 343,342.80 is: 473,780.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,141.20 : 684,628.20 = 343,342.80 : x
  2. Step 2: Convert to fraction form
    496,141.20/684,628.20 = 343,342.80/x
  3. Step 3: Cross multiply
    496,141.20x = 684,628.20 × 343,342.80
  4. Step 4: Simplify right side
    496,141.20x = 235,062,163,146.96
  5. Step 5: Solve for x
    x = 235,062,163,146.96/496,141.20
  6. Step 6: Final answer
    x = 473,780.78

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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.