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Finding the Fourth Proportional to 344,078.64, 474,865.74 and 208,187.49

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Solution

The fourth proportional to 344,078.64, 474,865.74 and 208,187.49 is: 287,321.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,078.64 : 474,865.74 = 208,187.49 : x
  2. Step 2: Convert to fraction form
    344,078.64/474,865.74 = 208,187.49/x
  3. Step 3: Cross multiply
    344,078.64x = 474,865.74 × 208,187.49
  4. Step 4: Simplify right side
    344,078.64x = 98,861,106,497.59
  5. Step 5: Solve for x
    x = 98,861,106,497.59/344,078.64
  6. Step 6: Final answer
    x = 287,321.25

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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.