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Finding the Fourth Proportional to 647,536.40, 970,843.80 and 248,022.80

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Solution

The fourth proportional to 647,536.40, 970,843.80 and 248,022.80 is: 371,857.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,536.40 : 970,843.80 = 248,022.80 : x
  2. Step 2: Convert to fraction form
    647,536.40/970,843.80 = 248,022.80/x
  3. Step 3: Cross multiply
    647,536.40x = 970,843.80 × 248,022.80
  4. Step 4: Simplify right side
    647,536.40x = 240,791,397,638.64
  5. Step 5: Solve for x
    x = 240,791,397,638.64/647,536.40
  6. Step 6: Final answer
    x = 371,857.70

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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.