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Finding the Fourth Proportional to 313,468.56, 432,709.92 and 211,554

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Solution

The fourth proportional to 313,468.56, 432,709.92 and 211,554 is: 292,027.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,468.56 : 432,709.92 = 211,554 : x
  2. Step 2: Convert to fraction form
    313,468.56/432,709.92 = 211,554/x
  3. Step 3: Cross multiply
    313,468.56x = 432,709.92 × 211,554
  4. Step 4: Simplify right side
    313,468.56x = 91,541,514,415.68
  5. Step 5: Solve for x
    x = 91,541,514,415.68/313,468.56
  6. Step 6: Final answer
    x = 292,027.74

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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.