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Finding the Fourth Proportional to 340,382.36, 469,731.46 and 189,479.32

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Solution

The fourth proportional to 340,382.36, 469,731.46 and 189,479.32 is: 261,483.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,382.36 : 469,731.46 = 189,479.32 : x
  2. Step 2: Convert to fraction form
    340,382.36/469,731.46 = 189,479.32/x
  3. Step 3: Cross multiply
    340,382.36x = 469,731.46 × 189,479.32
  4. Step 4: Simplify right side
    340,382.36x = 89,004,397,623.41
  5. Step 5: Solve for x
    x = 89,004,397,623.41/340,382.36
  6. Step 6: Final answer
    x = 261,483.58

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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.