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Finding the Fourth Proportional to 340,296, 510,405.08 and 90,997.44

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Solution

The fourth proportional to 340,296, 510,405.08 and 90,997.44 is: 136,485.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,296 : 510,405.08 = 90,997.44 : x
  2. Step 2: Convert to fraction form
    340,296/510,405.08 = 90,997.44/x
  3. Step 3: Cross multiply
    340,296x = 510,405.08 × 90,997.44
  4. Step 4: Simplify right side
    340,296x = 46,445,555,643.00
  5. Step 5: Solve for x
    x = 46,445,555,643.00/340,296
  6. Step 6: Final answer
    x = 136,485.75

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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.