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Finding the Fourth Proportional to 354,836.40, 489,674.02 and 193,691.40

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Solution

The fourth proportional to 354,836.40, 489,674.02 and 193,691.40 is: 267,294.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,836.40 : 489,674.02 = 193,691.40 : x
  2. Step 2: Convert to fraction form
    354,836.40/489,674.02 = 193,691.40/x
  3. Step 3: Cross multiply
    354,836.40x = 489,674.02 × 193,691.40
  4. Step 4: Simplify right side
    354,836.40x = 94,845,646,477.43
  5. Step 5: Solve for x
    x = 94,845,646,477.43/354,836.40
  6. Step 6: Final answer
    x = 267,294.02

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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.