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Finding the Fourth Proportional to 421,032.78, 631,694.97 and 263,073.06

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Solution

The fourth proportional to 421,032.78, 631,694.97 and 263,073.06 is: 394,700.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,032.78 : 631,694.97 = 263,073.06 : x
  2. Step 2: Convert to fraction form
    421,032.78/631,694.97 = 263,073.06/x
  3. Step 3: Cross multiply
    421,032.78x = 631,694.97 × 263,073.06
  4. Step 4: Simplify right side
    421,032.78x = 166,181,928,744.51
  5. Step 5: Solve for x
    x = 166,181,928,744.51/421,032.78
  6. Step 6: Final answer
    x = 394,700.69

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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.