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Finding the Fourth Proportional to 289,633.29, 434,449.05 and 73,491.60

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Solution

The fourth proportional to 289,633.29, 434,449.05 and 73,491.60 is: 110,237.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,633.29 : 434,449.05 = 73,491.60 : x
  2. Step 2: Convert to fraction form
    289,633.29/434,449.05 = 73,491.60/x
  3. Step 3: Cross multiply
    289,633.29x = 434,449.05 × 73,491.60
  4. Step 4: Simplify right side
    289,633.29x = 31,928,355,802.98
  5. Step 5: Solve for x
    x = 31,928,355,802.98/289,633.29
  6. Step 6: Final answer
    x = 110,237.18

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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.