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Finding the Fourth Proportional to 228,907.60, 343,361.40 and 191,509.90

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Solution

The fourth proportional to 228,907.60, 343,361.40 and 191,509.90 is: 287,264.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,907.60 : 343,361.40 = 191,509.90 : x
  2. Step 2: Convert to fraction form
    228,907.60/343,361.40 = 191,509.90/x
  3. Step 3: Cross multiply
    228,907.60x = 343,361.40 × 191,509.90
  4. Step 4: Simplify right side
    228,907.60x = 65,757,107,377.86
  5. Step 5: Solve for x
    x = 65,757,107,377.86/228,907.60
  6. Step 6: Final answer
    x = 287,264.85

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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.