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Finding the Fourth Proportional to 262,470, 362,208.60 and 143,238

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Solution

The fourth proportional to 262,470, 362,208.60 and 143,238 is: 197,668.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,470 : 362,208.60 = 143,238 : x
  2. Step 2: Convert to fraction form
    262,470/362,208.60 = 143,238/x
  3. Step 3: Cross multiply
    262,470x = 362,208.60 × 143,238
  4. Step 4: Simplify right side
    262,470x = 51,882,035,446.80
  5. Step 5: Solve for x
    x = 51,882,035,446.80/262,470
  6. Step 6: Final answer
    x = 197,668.44

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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.