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Finding the Fourth Proportional to 339,602.88, 509,511 and 140,017.20

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Solution

The fourth proportional to 339,602.88, 509,511 and 140,017.20 is: 210,069.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,602.88 : 509,511 = 140,017.20 : x
  2. Step 2: Convert to fraction form
    339,602.88/509,511 = 140,017.20/x
  3. Step 3: Cross multiply
    339,602.88x = 509,511 × 140,017.20
  4. Step 4: Simplify right side
    339,602.88x = 71,340,303,589.20
  5. Step 5: Solve for x
    x = 71,340,303,589.20/339,602.88
  6. Step 6: Final answer
    x = 210,069.78

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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.