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Finding the Fourth Proportional to 647,854.02, 894,057.48 and 361,367.91

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Solution

The fourth proportional to 647,854.02, 894,057.48 and 361,367.91 is: 498,698.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,854.02 : 894,057.48 = 361,367.91 : x
  2. Step 2: Convert to fraction form
    647,854.02/894,057.48 = 361,367.91/x
  3. Step 3: Cross multiply
    647,854.02x = 894,057.48 × 361,367.91
  4. Step 4: Simplify right side
    647,854.02x = 323,083,682,967.47
  5. Step 5: Solve for x
    x = 323,083,682,967.47/647,854.02
  6. Step 6: Final answer
    x = 498,698.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.