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Finding the Fourth Proportional to 340,468.50, 469,849.80 and 189,568.74

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Solution

The fourth proportional to 340,468.50, 469,849.80 and 189,568.74 is: 261,606.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,468.50 : 469,849.80 = 189,568.74 : x
  2. Step 2: Convert to fraction form
    340,468.50/469,849.80 = 189,568.74/x
  3. Step 3: Cross multiply
    340,468.50x = 469,849.80 × 189,568.74
  4. Step 4: Simplify right side
    340,468.50x = 89,068,834,575.25
  5. Step 5: Solve for x
    x = 89,068,834,575.25/340,468.50
  6. Step 6: Final answer
    x = 261,606.68

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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.