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Finding the Fourth Proportional to 512,218.40, 766,772.40 and 456,231.20

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Solution

The fourth proportional to 512,218.40, 766,772.40 and 456,231.20 is: 682,961.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,218.40 : 766,772.40 = 456,231.20 : x
  2. Step 2: Convert to fraction form
    512,218.40/766,772.40 = 456,231.20/x
  3. Step 3: Cross multiply
    512,218.40x = 766,772.40 × 456,231.20
  4. Step 4: Simplify right side
    512,218.40x = 349,825,492,178.88
  5. Step 5: Solve for x
    x = 349,825,492,178.88/512,218.40
  6. Step 6: Final answer
    x = 682,961.59

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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.