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Finding the Fourth Proportional to 512,103.20, 766,405.20 and 449,117.60

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Solution

The fourth proportional to 512,103.20, 766,405.20 and 449,117.60 is: 672,141.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,103.20 : 766,405.20 = 449,117.60 : x
  2. Step 2: Convert to fraction form
    512,103.20/766,405.20 = 449,117.60/x
  3. Step 3: Cross multiply
    512,103.20x = 766,405.20 × 449,117.60
  4. Step 4: Simplify right side
    512,103.20x = 344,206,064,051.52
  5. Step 5: Solve for x
    x = 344,206,064,051.52/512,103.20
  6. Step 6: Final answer
    x = 672,141.99

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1.5x scale

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.