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Finding the Fourth Proportional to 647,296.26, 970,734.32 and 305,686.86

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Solution

The fourth proportional to 647,296.26, 970,734.32 and 305,686.86 is: 458,431.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,296.26 : 970,734.32 = 305,686.86 : x
  2. Step 2: Convert to fraction form
    647,296.26/970,734.32 = 305,686.86/x
  3. Step 3: Cross multiply
    647,296.26x = 970,734.32 × 305,686.86
  4. Step 4: Simplify right side
    647,296.26x = 296,740,724,646.60
  5. Step 5: Solve for x
    x = 296,740,724,646.60/647,296.26
  6. Step 6: Final answer
    x = 458,431.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.