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Finding the Fourth Proportional to 464,474.86, 640,942.39 and 257,754.36

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Solution

The fourth proportional to 464,474.86, 640,942.39 and 257,754.36 is: 355,682.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,474.86 : 640,942.39 = 257,754.36 : x
  2. Step 2: Convert to fraction form
    464,474.86/640,942.39 = 257,754.36/x
  3. Step 3: Cross multiply
    464,474.86x = 640,942.39 × 257,754.36
  4. Step 4: Simplify right side
    464,474.86x = 165,205,693,449.98
  5. Step 5: Solve for x
    x = 165,205,693,449.98/464,474.86
  6. Step 6: Final answer
    x = 355,682.74

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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.