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Finding the Fourth Proportional to 340,553.68, 469,930.44 and 189,664.72

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Solution

The fourth proportional to 340,553.68, 469,930.44 and 189,664.72 is: 261,718.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,553.68 : 469,930.44 = 189,664.72 : x
  2. Step 2: Convert to fraction form
    340,553.68/469,930.44 = 189,664.72/x
  3. Step 3: Cross multiply
    340,553.68x = 469,930.44 × 189,664.72
  4. Step 4: Simplify right side
    340,553.68x = 89,129,225,322.08
  5. Step 5: Solve for x
    x = 89,129,225,322.08/340,553.68
  6. Step 6: Final answer
    x = 261,718.58

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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.