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Finding the Fourth Proportional to 314,716.95, 472,272.26 and 127,728.45

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Solution

The fourth proportional to 314,716.95, 472,272.26 and 127,728.45 is: 191,672.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,716.95 : 472,272.26 = 127,728.45 : x
  2. Step 2: Convert to fraction form
    314,716.95/472,272.26 = 127,728.45/x
  3. Step 3: Cross multiply
    314,716.95x = 472,272.26 × 127,728.45
  4. Step 4: Simplify right side
    314,716.95x = 60,322,603,109.15
  5. Step 5: Solve for x
    x = 60,322,603,109.15/314,716.95
  6. Step 6: Final answer
    x = 191,672.56

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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.