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Finding the Fourth Proportional to 340,147.68, 469,246.77 and 219,327.78

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Solution

The fourth proportional to 340,147.68, 469,246.77 and 219,327.78 is: 302,571.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,147.68 : 469,246.77 = 219,327.78 : x
  2. Step 2: Convert to fraction form
    340,147.68/469,246.77 = 219,327.78/x
  3. Step 3: Cross multiply
    340,147.68x = 469,246.77 × 219,327.78
  4. Step 4: Simplify right side
    340,147.68x = 102,918,852,336.27
  5. Step 5: Solve for x
    x = 102,918,852,336.27/340,147.68
  6. Step 6: Final answer
    x = 302,571.08

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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.