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Finding the Fourth Proportional to 406,108.80, 609,163.20 and 378,460.80

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Solution

The fourth proportional to 406,108.80, 609,163.20 and 378,460.80 is: 567,691.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,108.80 : 609,163.20 = 378,460.80 : x
  2. Step 2: Convert to fraction form
    406,108.80/609,163.20 = 378,460.80/x
  3. Step 3: Cross multiply
    406,108.80x = 609,163.20 × 378,460.80
  4. Step 4: Simplify right side
    406,108.80x = 230,544,392,002.56
  5. Step 5: Solve for x
    x = 230,544,392,002.56/406,108.80
  6. Step 6: Final answer
    x = 567,691.20

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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.