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Finding the Fourth Proportional to 354,992, 489,889.80 and 193,847.36

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Solution

The fourth proportional to 354,992, 489,889.80 and 193,847.36 is: 267,509.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,992 : 489,889.80 = 193,847.36 : x
  2. Step 2: Convert to fraction form
    354,992/489,889.80 = 193,847.36/x
  3. Step 3: Cross multiply
    354,992x = 489,889.80 × 193,847.36
  4. Step 4: Simplify right side
    354,992x = 94,963,844,420.93
  5. Step 5: Solve for x
    x = 94,963,844,420.93/354,992
  6. Step 6: Final answer
    x = 267,509.82

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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.