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Finding the Fourth Proportional to 321,131.52, 442,699.92 and 225,341.28

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Solution

The fourth proportional to 321,131.52, 442,699.92 and 225,341.28 is: 310,647.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,131.52 : 442,699.92 = 225,341.28 : x
  2. Step 2: Convert to fraction form
    321,131.52/442,699.92 = 225,341.28/x
  3. Step 3: Cross multiply
    321,131.52x = 442,699.92 × 225,341.28
  4. Step 4: Simplify right side
    321,131.52x = 99,758,566,628.70
  5. Step 5: Solve for x
    x = 99,758,566,628.70/321,131.52
  6. Step 6: Final answer
    x = 310,647.07

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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.