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Finding the Fourth Proportional to 389,495.95, 584,185.44 and 123,221.86

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Solution

The fourth proportional to 389,495.95, 584,185.44 and 123,221.86 is: 184,814.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,495.95 : 584,185.44 = 123,221.86 : x
  2. Step 2: Convert to fraction form
    389,495.95/584,185.44 = 123,221.86/x
  3. Step 3: Cross multiply
    389,495.95x = 584,185.44 × 123,221.86
  4. Step 4: Simplify right side
    389,495.95x = 71,984,416,501.72
  5. Step 5: Solve for x
    x = 71,984,416,501.72/389,495.95
  6. Step 6: Final answer
    x = 184,814.29

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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.