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Finding the Fourth Proportional to 289,470.56, 434,220.24 and 89,926.88

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Solution

The fourth proportional to 289,470.56, 434,220.24 and 89,926.88 is: 134,894.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,470.56 : 434,220.24 = 89,926.88 : x
  2. Step 2: Convert to fraction form
    289,470.56/434,220.24 = 89,926.88/x
  3. Step 3: Cross multiply
    289,470.56x = 434,220.24 × 89,926.88
  4. Step 4: Simplify right side
    289,470.56x = 39,048,071,416.05
  5. Step 5: Solve for x
    x = 39,048,071,416.05/289,470.56
  6. Step 6: Final answer
    x = 134,894.79

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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.