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Finding the Fourth Proportional to 354,446.92, 489,146 and 193,308.76

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Solution

The fourth proportional to 354,446.92, 489,146 and 193,308.76 is: 266,771.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,446.92 : 489,146 = 193,308.76 : x
  2. Step 2: Convert to fraction form
    354,446.92/489,146 = 193,308.76/x
  3. Step 3: Cross multiply
    354,446.92x = 489,146 × 193,308.76
  4. Step 4: Simplify right side
    354,446.92x = 94,556,206,718.96
  5. Step 5: Solve for x
    x = 94,556,206,718.96/354,446.92
  6. Step 6: Final answer
    x = 266,771.13

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1.5x scale

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.