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Finding the Fourth Proportional to 320,954.52, 442,455.66 and 225,164.28

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Solution

The fourth proportional to 320,954.52, 442,455.66 and 225,164.28 is: 310,402.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,954.52 : 442,455.66 = 225,164.28 : x
  2. Step 2: Convert to fraction form
    320,954.52/442,455.66 = 225,164.28/x
  3. Step 3: Cross multiply
    320,954.52x = 442,455.66 × 225,164.28
  4. Step 4: Simplify right side
    320,954.52x = 99,625,210,115.82
  5. Step 5: Solve for x
    x = 99,625,210,115.82/320,954.52
  6. Step 6: Final answer
    x = 310,402.89

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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.