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Finding the Fourth Proportional to 340,327, 469,651.26 and 189,420.76

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Solution

The fourth proportional to 340,327, 469,651.26 and 189,420.76 is: 261,400.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,327 : 469,651.26 = 189,420.76 : x
  2. Step 2: Convert to fraction form
    340,327/469,651.26 = 189,420.76/x
  3. Step 3: Cross multiply
    340,327x = 469,651.26 × 189,420.76
  4. Step 4: Simplify right side
    340,327x = 88,961,698,604.16
  5. Step 5: Solve for x
    x = 88,961,698,604.16/340,327
  6. Step 6: Final answer
    x = 261,400.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.