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Finding the Fourth Proportional to 405,163.26, 558,458.48 and 287,329.52

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Solution

The fourth proportional to 405,163.26, 558,458.48 and 287,329.52 is: 396,041.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,163.26 : 558,458.48 = 287,329.52 : x
  2. Step 2: Convert to fraction form
    405,163.26/558,458.48 = 287,329.52/x
  3. Step 3: Cross multiply
    405,163.26x = 558,458.48 × 287,329.52
  4. Step 4: Simplify right side
    405,163.26x = 160,461,609,112.80
  5. Step 5: Solve for x
    x = 160,461,609,112.80/405,163.26
  6. Step 6: Final answer
    x = 396,041.86

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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.