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Finding the Fourth Proportional to 314,120.72, 433,388.66 and 178,144

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Solution

The fourth proportional to 314,120.72, 433,388.66 and 178,144 is: 245,783.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,120.72 : 433,388.66 = 178,144 : x
  2. Step 2: Convert to fraction form
    314,120.72/433,388.66 = 178,144/x
  3. Step 3: Cross multiply
    314,120.72x = 433,388.66 × 178,144
  4. Step 4: Simplify right side
    314,120.72x = 77,205,589,447.04
  5. Step 5: Solve for x
    x = 77,205,589,447.04/314,120.72
  6. Step 6: Final answer
    x = 245,783.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.