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Finding the Fourth Proportional to 262,447.80, 393,671.70 and 181,966.20

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Solution

The fourth proportional to 262,447.80, 393,671.70 and 181,966.20 is: 272,949.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,447.80 : 393,671.70 = 181,966.20 : x
  2. Step 2: Convert to fraction form
    262,447.80/393,671.70 = 181,966.20/x
  3. Step 3: Cross multiply
    262,447.80x = 393,671.70 × 181,966.20
  4. Step 4: Simplify right side
    262,447.80x = 71,634,943,296.54
  5. Step 5: Solve for x
    x = 71,634,943,296.54/262,447.80
  6. Step 6: Final answer
    x = 272,949.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.