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Finding the Fourth Proportional to 647,985.10, 894,202.18 and 361,497.82

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Solution

The fourth proportional to 647,985.10, 894,202.18 and 361,497.82 is: 498,857.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,985.10 : 894,202.18 = 361,497.82 : x
  2. Step 2: Convert to fraction form
    647,985.10/894,202.18 = 361,497.82/x
  3. Step 3: Cross multiply
    647,985.10x = 894,202.18 × 361,497.82
  4. Step 4: Simplify right side
    647,985.10x = 323,252,138,709.25
  5. Step 5: Solve for x
    x = 323,252,138,709.25/647,985.10
  6. Step 6: Final answer
    x = 498,857.36

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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.