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Finding the Fourth Proportional to 289,956.20, 434,588.70 and 121,476.20

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Solution

The fourth proportional to 289,956.20, 434,588.70 and 121,476.20 is: 182,069.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,956.20 : 434,588.70 = 121,476.20 : x
  2. Step 2: Convert to fraction form
    289,956.20/434,588.70 = 121,476.20/x
  3. Step 3: Cross multiply
    289,956.20x = 434,588.70 × 121,476.20
  4. Step 4: Simplify right side
    289,956.20x = 52,792,183,838.94
  5. Step 5: Solve for x
    x = 52,792,183,838.94/289,956.20
  6. Step 6: Final answer
    x = 182,069.51

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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.