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Finding the Fourth Proportional to 647,293.16, 970,835.70 and 273,267.56

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Solution

The fourth proportional to 647,293.16, 970,835.70 and 273,267.56 is: 409,857.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,293.16 : 970,835.70 = 273,267.56 : x
  2. Step 2: Convert to fraction form
    647,293.16/970,835.70 = 273,267.56/x
  3. Step 3: Cross multiply
    647,293.16x = 970,835.70 × 273,267.56
  4. Step 4: Simplify right side
    647,293.16x = 265,297,902,899.89
  5. Step 5: Solve for x
    x = 265,297,902,899.89/647,293.16
  6. Step 6: Final answer
    x = 409,857.42

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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.