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Finding the Fourth Proportional to 308,450.13, 462,561.87 and 105,988.82

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Solution

The fourth proportional to 308,450.13, 462,561.87 and 105,988.82 is: 158,944.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,450.13 : 462,561.87 = 105,988.82 : x
  2. Step 2: Convert to fraction form
    308,450.13/462,561.87 = 105,988.82/x
  3. Step 3: Cross multiply
    308,450.13x = 462,561.87 × 105,988.82
  4. Step 4: Simplify right side
    308,450.13x = 49,026,388,159.81
  5. Step 5: Solve for x
    x = 49,026,388,159.81/308,450.13
  6. Step 6: Final answer
    x = 158,944.29

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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.