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Finding the Fourth Proportional to 403,611.10, 605,416.65 and 254,311.90

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Solution

The fourth proportional to 403,611.10, 605,416.65 and 254,311.90 is: 381,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,611.10 : 605,416.65 = 254,311.90 : x
  2. Step 2: Convert to fraction form
    403,611.10/605,416.65 = 254,311.90/x
  3. Step 3: Cross multiply
    403,611.10x = 605,416.65 × 254,311.90
  4. Step 4: Simplify right side
    403,611.10x = 153,964,658,553.14
  5. Step 5: Solve for x
    x = 153,964,658,553.14/403,611.10
  6. Step 6: Final answer
    x = 381,467.85

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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.