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Finding the Fourth Proportional to 289,735.20, 434,257.20 and 121,255.20

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Solution

The fourth proportional to 289,735.20, 434,257.20 and 121,255.20 is: 181,738.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,735.20 : 434,257.20 = 121,255.20 : x
  2. Step 2: Convert to fraction form
    289,735.20/434,257.20 = 121,255.20/x
  3. Step 3: Cross multiply
    289,735.20x = 434,257.20 × 121,255.20
  4. Step 4: Simplify right side
    289,735.20x = 52,655,943,637.44
  5. Step 5: Solve for x
    x = 52,655,943,637.44/289,735.20
  6. Step 6: Final answer
    x = 181,738.17

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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.