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Finding the Fourth Proportional to 261,270, 360,135.95 and 196,642.10

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Solution

The fourth proportional to 261,270, 360,135.95 and 196,642.10 is: 271,052.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,270 : 360,135.95 = 196,642.10 : x
  2. Step 2: Convert to fraction form
    261,270/360,135.95 = 196,642.10/x
  3. Step 3: Cross multiply
    261,270x = 360,135.95 × 196,642.10
  4. Step 4: Simplify right side
    261,270x = 70,817,889,410.62
  5. Step 5: Solve for x
    x = 70,817,889,410.62/261,270
  6. Step 6: Final answer
    x = 271,052.51

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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.