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Finding the Fourth Proportional to 331,918.34, 457,978.60 and 194,070.74

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Solution

The fourth proportional to 331,918.34, 457,978.60 and 194,070.74 is: 267,777.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,918.34 : 457,978.60 = 194,070.74 : x
  2. Step 2: Convert to fraction form
    331,918.34/457,978.60 = 194,070.74/x
  3. Step 3: Cross multiply
    331,918.34x = 457,978.60 × 194,070.74
  4. Step 4: Simplify right side
    331,918.34x = 88,880,242,545.92
  5. Step 5: Solve for x
    x = 88,880,242,545.92/331,918.34
  6. Step 6: Final answer
    x = 267,777.44

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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.