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Finding the Fourth Proportional to 245,512, 338,806.92 and 144,910

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Solution

The fourth proportional to 245,512, 338,806.92 and 144,910 is: 199,976.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,512 : 338,806.92 = 144,910 : x
  2. Step 2: Convert to fraction form
    245,512/338,806.92 = 144,910/x
  3. Step 3: Cross multiply
    245,512x = 338,806.92 × 144,910
  4. Step 4: Simplify right side
    245,512x = 49,096,510,777.20
  5. Step 5: Solve for x
    x = 49,096,510,777.20/245,512
  6. Step 6: Final answer
    x = 199,976.01

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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.