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Finding the Fourth Proportional to 328,954.97, 493,276.91 and 151,409.45

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Solution

The fourth proportional to 328,954.97, 493,276.91 and 151,409.45 is: 227,042.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,954.97 : 493,276.91 = 151,409.45 : x
  2. Step 2: Convert to fraction form
    328,954.97/493,276.91 = 151,409.45/x
  3. Step 3: Cross multiply
    328,954.97x = 493,276.91 × 151,409.45
  4. Step 4: Simplify right side
    328,954.97x = 74,686,786,116.94
  5. Step 5: Solve for x
    x = 74,686,786,116.94/328,954.97
  6. Step 6: Final answer
    x = 227,042.58

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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.