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Finding the Fourth Proportional to 340,355.44, 469,682.28 and 213,101.20

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Solution

The fourth proportional to 340,355.44, 469,682.28 and 213,101.20 is: 294,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,355.44 : 469,682.28 = 213,101.20 : x
  2. Step 2: Convert to fraction form
    340,355.44/469,682.28 = 213,101.20/x
  3. Step 3: Cross multiply
    340,355.44x = 469,682.28 × 213,101.20
  4. Step 4: Simplify right side
    340,355.44x = 100,089,857,486.74
  5. Step 5: Solve for x
    x = 100,089,857,486.74/340,355.44
  6. Step 6: Final answer
    x = 294,074.50

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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.