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Finding the Fourth Proportional to 340,978.74, 470,458.34 and 193,801.56

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Solution

The fourth proportional to 340,978.74, 470,458.34 and 193,801.56 is: 267,393.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,978.74 : 470,458.34 = 193,801.56 : x
  2. Step 2: Convert to fraction form
    340,978.74/470,458.34 = 193,801.56/x
  3. Step 3: Cross multiply
    340,978.74x = 470,458.34 × 193,801.56
  4. Step 4: Simplify right side
    340,978.74x = 91,175,560,207.01
  5. Step 5: Solve for x
    x = 91,175,560,207.01/340,978.74
  6. Step 6: Final answer
    x = 267,393.68

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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.