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Finding the Fourth Proportional to 512,469.15, 768,703.73 and 228,159.15

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Solution

The fourth proportional to 512,469.15, 768,703.73 and 228,159.15 is: 342,238.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,469.15 : 768,703.73 = 228,159.15 : x
  2. Step 2: Convert to fraction form
    512,469.15/768,703.73 = 228,159.15/x
  3. Step 3: Cross multiply
    512,469.15x = 768,703.73 × 228,159.15
  4. Step 4: Simplify right side
    512,469.15x = 175,386,788,497.83
  5. Step 5: Solve for x
    x = 175,386,788,497.83/512,469.15
  6. Step 6: Final answer
    x = 342,238.73

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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.