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Finding the Fourth Proportional to 314,912.40, 472,372.20 and 78,255.60

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Solution

The fourth proportional to 314,912.40, 472,372.20 and 78,255.60 is: 117,384.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,912.40 : 472,372.20 = 78,255.60 : x
  2. Step 2: Convert to fraction form
    314,912.40/472,372.20 = 78,255.60/x
  3. Step 3: Cross multiply
    314,912.40x = 472,372.20 × 78,255.60
  4. Step 4: Simplify right side
    314,912.40x = 36,965,769,934.32
  5. Step 5: Solve for x
    x = 36,965,769,934.32/314,912.40
  6. Step 6: Final answer
    x = 117,384.29

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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.