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Finding the Fourth Proportional to 253,106.68, 349,569.66 and 196,431.88

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Solution

The fourth proportional to 253,106.68, 349,569.66 and 196,431.88 is: 271,295.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,106.68 : 349,569.66 = 196,431.88 : x
  2. Step 2: Convert to fraction form
    253,106.68/349,569.66 = 196,431.88/x
  3. Step 3: Cross multiply
    253,106.68x = 349,569.66 × 196,431.88
  4. Step 4: Simplify right side
    253,106.68x = 68,666,625,504.76
  5. Step 5: Solve for x
    x = 68,666,625,504.76/253,106.68
  6. Step 6: Final answer
    x = 271,295.19

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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.