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Finding the Fourth Proportional to 289,385.82, 434,170.89 and 123,221.34

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Solution

The fourth proportional to 289,385.82, 434,170.89 and 123,221.34 is: 184,871.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,385.82 : 434,170.89 = 123,221.34 : x
  2. Step 2: Convert to fraction form
    289,385.82/434,170.89 = 123,221.34/x
  3. Step 3: Cross multiply
    289,385.82x = 434,170.89 × 123,221.34
  4. Step 4: Simplify right side
    289,385.82x = 53,499,118,854.79
  5. Step 5: Solve for x
    x = 53,499,118,854.79/289,385.82
  6. Step 6: Final answer
    x = 184,871.25

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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.