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Finding the Fourth Proportional to 647,785.35, 971,649.96 and 221,359.23

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Solution

The fourth proportional to 647,785.35, 971,649.96 and 221,359.23 is: 332,029.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,785.35 : 971,649.96 = 221,359.23 : x
  2. Step 2: Convert to fraction form
    647,785.35/971,649.96 = 221,359.23/x
  3. Step 3: Cross multiply
    647,785.35x = 971,649.96 × 221,359.23
  4. Step 4: Simplify right side
    647,785.35x = 215,083,686,975.13
  5. Step 5: Solve for x
    x = 215,083,686,975.13/647,785.35
  6. Step 6: Final answer
    x = 332,029.25

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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.