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Finding the Fourth Proportional to 289,136.08, 434,200.44 and 177,472

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Solution

The fourth proportional to 289,136.08, 434,200.44 and 177,472 is: 266,512.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,136.08 : 434,200.44 = 177,472 : x
  2. Step 2: Convert to fraction form
    289,136.08/434,200.44 = 177,472/x
  3. Step 3: Cross multiply
    289,136.08x = 434,200.44 × 177,472
  4. Step 4: Simplify right side
    289,136.08x = 77,058,420,487.68
  5. Step 5: Solve for x
    x = 77,058,420,487.68/289,136.08
  6. Step 6: Final answer
    x = 266,512.64

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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.