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Finding the Fourth Proportional to 340,326.72, 510,493.68 and 140,509.44

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Solution

The fourth proportional to 340,326.72, 510,493.68 and 140,509.44 is: 210,765.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,326.72 : 510,493.68 = 140,509.44 : x
  2. Step 2: Convert to fraction form
    340,326.72/510,493.68 = 140,509.44/x
  3. Step 3: Cross multiply
    340,326.72x = 510,493.68 × 140,509.44
  4. Step 4: Simplify right side
    340,326.72x = 71,729,181,100.34
  5. Step 5: Solve for x
    x = 71,729,181,100.34/340,326.72
  6. Step 6: Final answer
    x = 210,765.65

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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.