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Finding the Fourth Proportional to 257,822.62, 386,744.42 and 122,817.29

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Solution

The fourth proportional to 257,822.62, 386,744.42 and 122,817.29 is: 184,230.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,822.62 : 386,744.42 = 122,817.29 : x
  2. Step 2: Convert to fraction form
    257,822.62/386,744.42 = 122,817.29/x
  3. Step 3: Cross multiply
    257,822.62x = 386,744.42 × 122,817.29
  4. Step 4: Simplify right side
    257,822.62x = 47,498,901,587.02
  5. Step 5: Solve for x
    x = 47,498,901,587.02/257,822.62
  6. Step 6: Final answer
    x = 184,230.93

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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.