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Finding the Fourth Proportional to 289,144.08, 434,212.44 and 177,480

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Solution

The fourth proportional to 289,144.08, 434,212.44 and 177,480 is: 266,524.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,144.08 : 434,212.44 = 177,480 : x
  2. Step 2: Convert to fraction form
    289,144.08/434,212.44 = 177,480/x
  3. Step 3: Cross multiply
    289,144.08x = 434,212.44 × 177,480
  4. Step 4: Simplify right side
    289,144.08x = 77,064,023,851.20
  5. Step 5: Solve for x
    x = 77,064,023,851.20/289,144.08
  6. Step 6: Final answer
    x = 266,524.65

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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.