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Finding the Fourth Proportional to 308,137.80, 462,206.70 and 142,249.80

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Solution

The fourth proportional to 308,137.80, 462,206.70 and 142,249.80 is: 213,374.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,137.80 : 462,206.70 = 142,249.80 : x
  2. Step 2: Convert to fraction form
    308,137.80/462,206.70 = 142,249.80/x
  3. Step 3: Cross multiply
    308,137.80x = 462,206.70 × 142,249.80
  4. Step 4: Simplify right side
    308,137.80x = 65,748,810,633.66
  5. Step 5: Solve for x
    x = 65,748,810,633.66/308,137.80
  6. Step 6: Final answer
    x = 213,374.70

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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.