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Finding the Fourth Proportional to 512,405.80, 768,827.40 and 246,029.20

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Solution

The fourth proportional to 512,405.80, 768,827.40 and 246,029.20 is: 369,148.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,405.80 : 768,827.40 = 246,029.20 : x
  2. Step 2: Convert to fraction form
    512,405.80/768,827.40 = 246,029.20/x
  3. Step 3: Cross multiply
    512,405.80x = 768,827.40 × 246,029.20
  4. Step 4: Simplify right side
    512,405.80x = 189,153,990,160.08
  5. Step 5: Solve for x
    x = 189,153,990,160.08/512,405.80
  6. Step 6: Final answer
    x = 369,148.81

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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.