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Finding the Fourth Proportional to 647,868.90, 894,058.47 and 361,388.82

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Solution

The fourth proportional to 647,868.90, 894,058.47 and 361,388.82 is: 498,716.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,868.90 : 894,058.47 = 361,388.82 : x
  2. Step 2: Convert to fraction form
    647,868.90/894,058.47 = 361,388.82/x
  3. Step 3: Cross multiply
    647,868.90x = 894,058.47 × 361,388.82
  4. Step 4: Simplify right side
    647,868.90x = 323,102,735,484.31
  5. Step 5: Solve for x
    x = 323,102,735,484.31/647,868.90
  6. Step 6: Final answer
    x = 498,716.23

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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.