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Finding the Fourth Proportional to 389,456.83, 584,206.51 and 123,197.55

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Solution

The fourth proportional to 389,456.83, 584,206.51 and 123,197.55 is: 184,803.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,456.83 : 584,206.51 = 123,197.55 : x
  2. Step 2: Convert to fraction form
    389,456.83/584,206.51 = 123,197.55/x
  3. Step 3: Cross multiply
    389,456.83x = 584,206.51 × 123,197.55
  4. Step 4: Simplify right side
    389,456.83x = 71,972,810,726.05
  5. Step 5: Solve for x
    x = 71,972,810,726.05/389,456.83
  6. Step 6: Final answer
    x = 184,803.05

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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.