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Finding the Fourth Proportional to 512,907.12, 769,449.24 and 228,698.64

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Solution

The fourth proportional to 512,907.12, 769,449.24 and 228,698.64 is: 343,087.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,907.12 : 769,449.24 = 228,698.64 : x
  2. Step 2: Convert to fraction form
    512,907.12/769,449.24 = 228,698.64/x
  3. Step 3: Cross multiply
    512,907.12x = 769,449.24 × 228,698.64
  4. Step 4: Simplify right side
    512,907.12x = 175,971,994,737.03
  5. Step 5: Solve for x
    x = 175,971,994,737.03/512,907.12
  6. Step 6: Final answer
    x = 343,087.45

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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.