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Finding the Fourth Proportional to 528,163.14, 728,958.30 and 313,421.61

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Solution

The fourth proportional to 528,163.14, 728,958.30 and 313,421.61 is: 432,577.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,163.14 : 728,958.30 = 313,421.61 : x
  2. Step 2: Convert to fraction form
    528,163.14/728,958.30 = 313,421.61/x
  3. Step 3: Cross multiply
    528,163.14x = 728,958.30 × 313,421.61
  4. Step 4: Simplify right side
    528,163.14x = 228,471,278,796.96
  5. Step 5: Solve for x
    x = 228,471,278,796.96/528,163.14
  6. Step 6: Final answer
    x = 432,577.10

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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.