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Finding the Fourth Proportional to 514,344.98, 771,236.22 and 408,409.43

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Solution

The fourth proportional to 514,344.98, 771,236.22 and 408,409.43 is: 612,390.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,344.98 : 771,236.22 = 408,409.43 : x
  2. Step 2: Convert to fraction form
    514,344.98/771,236.22 = 408,409.43/x
  3. Step 3: Cross multiply
    514,344.98x = 771,236.22 × 408,409.43
  4. Step 4: Simplify right side
    514,344.98x = 314,980,146,933.65
  5. Step 5: Solve for x
    x = 314,980,146,933.65/514,344.98
  6. Step 6: Final answer
    x = 612,390.82

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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.