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Finding the Fourth Proportional to 340,978.11, 511,467.18 and 340,486.03

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Solution

The fourth proportional to 340,978.11, 511,467.18 and 340,486.03 is: 510,729.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,978.11 : 511,467.18 = 340,486.03 : x
  2. Step 2: Convert to fraction form
    340,978.11/511,467.18 = 340,486.03/x
  3. Step 3: Cross multiply
    340,978.11x = 511,467.18 × 340,486.03
  4. Step 4: Simplify right side
    340,978.11x = 174,147,429,593.50
  5. Step 5: Solve for x
    x = 174,147,429,593.50/340,978.11
  6. Step 6: Final answer
    x = 510,729.06

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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.