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Finding the Fourth Proportional to 389,410, 584,218.68 and 123,175.36

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Solution

The fourth proportional to 389,410, 584,218.68 and 123,175.36 is: 184,795.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,410 : 584,218.68 = 123,175.36 : x
  2. Step 2: Convert to fraction form
    389,410/584,218.68 = 123,175.36/x
  3. Step 3: Cross multiply
    389,410x = 584,218.68 × 123,175.36
  4. Step 4: Simplify right side
    389,410x = 71,961,346,227.72
  5. Step 5: Solve for x
    x = 71,961,346,227.72/389,410
  6. Step 6: Final answer
    x = 184,795.84

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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.