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Finding the Fourth Proportional to 647,294.16, 970,837.20 and 273,268.56

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Solution

The fourth proportional to 647,294.16, 970,837.20 and 273,268.56 is: 409,858.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,294.16 : 970,837.20 = 273,268.56 : x
  2. Step 2: Convert to fraction form
    647,294.16/970,837.20 = 273,268.56/x
  3. Step 3: Cross multiply
    647,294.16x = 970,837.20 × 273,268.56
  4. Step 4: Simplify right side
    647,294.16x = 265,299,283,638.43
  5. Step 5: Solve for x
    x = 265,299,283,638.43/647,294.16
  6. Step 6: Final answer
    x = 409,858.92

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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.