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Finding the Fourth Proportional to 478,255.38, 717,362.31 and 178,738.56

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Solution

The fourth proportional to 478,255.38, 717,362.31 and 178,738.56 is: 268,100.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,255.38 : 717,362.31 = 178,738.56 : x
  2. Step 2: Convert to fraction form
    478,255.38/717,362.31 = 178,738.56/x
  3. Step 3: Cross multiply
    478,255.38x = 717,362.31 × 178,738.56
  4. Step 4: Simplify right side
    478,255.38x = 128,220,303,175.83
  5. Step 5: Solve for x
    x = 128,220,303,175.83/478,255.38
  6. Step 6: Final answer
    x = 268,100.07

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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.