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Finding the Fourth Proportional to 251,468.71, 347,155.34 and 193,978.98

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Solution

The fourth proportional to 251,468.71, 347,155.34 and 193,978.98 is: 267,790.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,468.71 : 347,155.34 = 193,978.98 : x
  2. Step 2: Convert to fraction form
    251,468.71/347,155.34 = 193,978.98/x
  3. Step 3: Cross multiply
    251,468.71x = 347,155.34 × 193,978.98
  4. Step 4: Simplify right side
    251,468.71x = 67,340,837,784.86
  5. Step 5: Solve for x
    x = 67,340,837,784.86/251,468.71
  6. Step 6: Final answer
    x = 267,790.13

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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.