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Finding the Fourth Proportional to 354,980.16, 489,873.48 and 193,836.48

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Solution

The fourth proportional to 354,980.16, 489,873.48 and 193,836.48 is: 267,494.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,980.16 : 489,873.48 = 193,836.48 : x
  2. Step 2: Convert to fraction form
    354,980.16/489,873.48 = 193,836.48/x
  3. Step 3: Cross multiply
    354,980.16x = 489,873.48 × 193,836.48
  4. Step 4: Simplify right side
    354,980.16x = 94,955,351,008.55
  5. Step 5: Solve for x
    x = 94,955,351,008.55/354,980.16
  6. Step 6: Final answer
    x = 267,494.81

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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.