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Finding the Fourth Proportional to 389,462.46, 584,214.97 and 123,203.17

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Solution

The fourth proportional to 389,462.46, 584,214.97 and 123,203.17 is: 184,811.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,462.46 : 584,214.97 = 123,203.17 : x
  2. Step 2: Convert to fraction form
    389,462.46/584,214.97 = 123,203.17/x
  3. Step 3: Cross multiply
    389,462.46x = 584,214.97 × 123,203.17
  4. Step 4: Simplify right side
    389,462.46x = 71,977,136,265.45
  5. Step 5: Solve for x
    x = 71,977,136,265.45/389,462.46
  6. Step 6: Final answer
    x = 184,811.49

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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.