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Finding the Fourth Proportional to 389,478, 584,158.52 and 123,203.91

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Solution

The fourth proportional to 389,478, 584,158.52 and 123,203.91 is: 184,787.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,478 : 584,158.52 = 123,203.91 : x
  2. Step 2: Convert to fraction form
    389,478/584,158.52 = 123,203.91/x
  3. Step 3: Cross multiply
    389,478x = 584,158.52 × 123,203.91
  4. Step 4: Simplify right side
    389,478x = 71,970,613,107.79
  5. Step 5: Solve for x
    x = 71,970,613,107.79/389,478
  6. Step 6: Final answer
    x = 184,787.36

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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.