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Finding the Fourth Proportional to 354,935.76, 489,785.40 and 193,794

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Solution

The fourth proportional to 354,935.76, 489,785.40 and 193,794 is: 267,421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,935.76 : 489,785.40 = 193,794 : x
  2. Step 2: Convert to fraction form
    354,935.76/489,785.40 = 193,794/x
  3. Step 3: Cross multiply
    354,935.76x = 489,785.40 × 193,794
  4. Step 4: Simplify right side
    354,935.76x = 94,917,471,807.60
  5. Step 5: Solve for x
    x = 94,917,471,807.60/354,935.76
  6. Step 6: Final answer
    x = 267,421.55

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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.