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Finding the Fourth Proportional to 647,079.09, 970,621.02 and 197,798.22

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Solution

The fourth proportional to 647,079.09, 970,621.02 and 197,798.22 is: 296,698.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,079.09 : 970,621.02 = 197,798.22 : x
  2. Step 2: Convert to fraction form
    647,079.09/970,621.02 = 197,798.22/x
  3. Step 3: Cross multiply
    647,079.09x = 970,621.02 × 197,798.22
  4. Step 4: Simplify right side
    647,079.09x = 191,987,105,197.48
  5. Step 5: Solve for x
    x = 191,987,105,197.48/647,079.09
  6. Step 6: Final answer
    x = 296,698.05

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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.