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Finding the Fourth Proportional to 528,163.52, 728,958.80 and 313,422

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Solution

The fourth proportional to 528,163.52, 728,958.80 and 313,422 is: 432,577.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,163.52 : 728,958.80 = 313,422 : x
  2. Step 2: Convert to fraction form
    528,163.52/728,958.80 = 313,422/x
  3. Step 3: Cross multiply
    528,163.52x = 728,958.80 × 313,422
  4. Step 4: Simplify right side
    528,163.52x = 228,471,725,013.60
  5. Step 5: Solve for x
    x = 228,471,725,013.60/528,163.52
  6. Step 6: Final answer
    x = 432,577.63

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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.