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Finding the Fourth Proportional to 314,907.50, 472,361.60 and 78,250.18

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Solution

The fourth proportional to 314,907.50, 472,361.60 and 78,250.18 is: 117,375.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,907.50 : 472,361.60 = 78,250.18 : x
  2. Step 2: Convert to fraction form
    314,907.50/472,361.60 = 78,250.18/x
  3. Step 3: Cross multiply
    314,907.50x = 472,361.60 × 78,250.18
  4. Step 4: Simplify right side
    314,907.50x = 36,962,379,833.84
  5. Step 5: Solve for x
    x = 36,962,379,833.84/314,907.50
  6. Step 6: Final answer
    x = 117,375.36

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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.