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Finding the Fourth Proportional to 509,382.78, 703,163.75 and 343,846.86

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Solution

The fourth proportional to 509,382.78, 703,163.75 and 343,846.86 is: 474,654.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,382.78 : 703,163.75 = 343,846.86 : x
  2. Step 2: Convert to fraction form
    509,382.78/703,163.75 = 343,846.86/x
  3. Step 3: Cross multiply
    509,382.78x = 703,163.75 × 343,846.86
  4. Step 4: Simplify right side
    509,382.78x = 241,780,645,784.09
  5. Step 5: Solve for x
    x = 241,780,645,784.09/509,382.78
  6. Step 6: Final answer
    x = 474,654.14

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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.