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Finding the Fourth Proportional to 488,174.87, 729,293.63 and 315,993.96

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Solution

The fourth proportional to 488,174.87, 729,293.63 and 315,993.96 is: 472,069.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,174.87 : 729,293.63 = 315,993.96 : x
  2. Step 2: Convert to fraction form
    488,174.87/729,293.63 = 315,993.96/x
  3. Step 3: Cross multiply
    488,174.87x = 729,293.63 × 315,993.96
  4. Step 4: Simplify right side
    488,174.87x = 230,452,382,146.48
  5. Step 5: Solve for x
    x = 230,452,382,146.48/488,174.87
  6. Step 6: Final answer
    x = 472,069.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.