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Finding the Fourth Proportional to 319,093.80, 478,410.30 and 178,895.40

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Solution

The fourth proportional to 319,093.80, 478,410.30 and 178,895.40 is: 268,213.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,093.80 : 478,410.30 = 178,895.40 : x
  2. Step 2: Convert to fraction form
    319,093.80/478,410.30 = 178,895.40/x
  3. Step 3: Cross multiply
    319,093.80x = 478,410.30 × 178,895.40
  4. Step 4: Simplify right side
    319,093.80x = 85,585,401,982.62
  5. Step 5: Solve for x
    x = 85,585,401,982.62/319,093.80
  6. Step 6: Final answer
    x = 268,213.93

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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.