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Finding the Fourth Proportional to 314,855.79, 434,512.74 and 178,912.82

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Solution

The fourth proportional to 314,855.79, 434,512.74 and 178,912.82 is: 246,906.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,855.79 : 434,512.74 = 178,912.82 : x
  2. Step 2: Convert to fraction form
    314,855.79/434,512.74 = 178,912.82/x
  3. Step 3: Cross multiply
    314,855.79x = 434,512.74 × 178,912.82
  4. Step 4: Simplify right side
    314,855.79x = 77,739,897,466.76
  5. Step 5: Solve for x
    x = 77,739,897,466.76/314,855.79
  6. Step 6: Final answer
    x = 246,906.36

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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.