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Finding the Fourth Proportional to 354,864.54, 489,713.95 and 193,719.70

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Solution

The fourth proportional to 354,864.54, 489,713.95 and 193,719.70 is: 267,333.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,864.54 : 489,713.95 = 193,719.70 : x
  2. Step 2: Convert to fraction form
    354,864.54/489,713.95 = 193,719.70/x
  3. Step 3: Cross multiply
    354,864.54x = 489,713.95 × 193,719.70
  4. Step 4: Simplify right side
    354,864.54x = 94,867,239,479.82
  5. Step 5: Solve for x
    x = 94,867,239,479.82/354,864.54
  6. Step 6: Final answer
    x = 267,333.67

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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.