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Finding the Fourth Proportional to 294,276, 406,144.62 and 173,378.64

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Solution

The fourth proportional to 294,276, 406,144.62 and 173,378.64 is: 239,288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,276 : 406,144.62 = 173,378.64 : x
  2. Step 2: Convert to fraction form
    294,276/406,144.62 = 173,378.64/x
  3. Step 3: Cross multiply
    294,276x = 406,144.62 × 173,378.64
  4. Step 4: Simplify right side
    294,276x = 70,416,801,858.92
  5. Step 5: Solve for x
    x = 70,416,801,858.92/294,276
  6. Step 6: Final answer
    x = 239,288.29

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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.