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Finding the Fourth Proportional to 647,965.17, 894,192.32 and 361,485.26

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Solution

The fourth proportional to 647,965.17, 894,192.32 and 361,485.26 is: 498,849.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,965.17 : 894,192.32 = 361,485.26 : x
  2. Step 2: Convert to fraction form
    647,965.17/894,192.32 = 361,485.26/x
  3. Step 3: Cross multiply
    647,965.17x = 894,192.32 × 361,485.26
  4. Step 4: Simplify right side
    647,965.17x = 323,237,343,285.20
  5. Step 5: Solve for x
    x = 323,237,343,285.20/647,965.17
  6. Step 6: Final answer
    x = 498,849.87

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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.