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Finding the Fourth Proportional to 308,741.91, 462,365.42 and 213,705.82

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Solution

The fourth proportional to 308,741.91, 462,365.42 and 213,705.82 is: 320,041.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,741.91 : 462,365.42 = 213,705.82 : x
  2. Step 2: Convert to fraction form
    308,741.91/462,365.42 = 213,705.82/x
  3. Step 3: Cross multiply
    308,741.91x = 462,365.42 × 213,705.82
  4. Step 4: Simplify right side
    308,741.91x = 98,810,181,220.74
  5. Step 5: Solve for x
    x = 98,810,181,220.74/308,741.91
  6. Step 6: Final answer
    x = 320,041.36

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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.