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Finding the Fourth Proportional to 262,647.84, 393,973.20 and 75,663.84

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Solution

The fourth proportional to 262,647.84, 393,973.20 and 75,663.84 is: 113,496.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,647.84 : 393,973.20 = 75,663.84 : x
  2. Step 2: Convert to fraction form
    262,647.84/393,973.20 = 75,663.84/x
  3. Step 3: Cross multiply
    262,647.84x = 393,973.20 × 75,663.84
  4. Step 4: Simplify right side
    262,647.84x = 29,809,525,169.09
  5. Step 5: Solve for x
    x = 29,809,525,169.09/262,647.84
  6. Step 6: Final answer
    x = 113,496.17

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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.