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Finding the Fourth Proportional to 261,271, 360,137.32 and 196,643.10

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Solution

The fourth proportional to 261,271, 360,137.32 and 196,643.10 is: 271,053.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,271 : 360,137.32 = 196,643.10 : x
  2. Step 2: Convert to fraction form
    261,271/360,137.32 = 196,643.10/x
  3. Step 3: Cross multiply
    261,271x = 360,137.32 × 196,643.10
  4. Step 4: Simplify right side
    261,271x = 70,818,519,030.49
  5. Step 5: Solve for x
    x = 70,818,519,030.49/261,271
  6. Step 6: Final answer
    x = 271,053.88

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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.