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Finding the Fourth Proportional to 389,417.64, 584,198.55 and 123,245.16

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Solution

The fourth proportional to 389,417.64, 584,198.55 and 123,245.16 is: 184,890.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,417.64 : 584,198.55 = 123,245.16 : x
  2. Step 2: Convert to fraction form
    389,417.64/584,198.55 = 123,245.16/x
  3. Step 3: Cross multiply
    389,417.64x = 584,198.55 × 123,245.16
  4. Step 4: Simplify right side
    389,417.64x = 71,999,643,766.52
  5. Step 5: Solve for x
    x = 71,999,643,766.52/389,417.64
  6. Step 6: Final answer
    x = 184,890.56

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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.