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Finding the Fourth Proportional to 647,199.48, 970,708.50 and 273,135

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Solution

The fourth proportional to 647,199.48, 970,708.50 and 273,135 is: 409,664.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,199.48 : 970,708.50 = 273,135 : x
  2. Step 2: Convert to fraction form
    647,199.48/970,708.50 = 273,135/x
  3. Step 3: Cross multiply
    647,199.48x = 970,708.50 × 273,135
  4. Step 4: Simplify right side
    647,199.48x = 265,134,466,147.50
  5. Step 5: Solve for x
    x = 265,134,466,147.50/647,199.48
  6. Step 6: Final answer
    x = 409,664.21

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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.