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Finding the Fourth Proportional to 298,538.21, 411,972.95 and 162,571.11

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Solution

The fourth proportional to 298,538.21, 411,972.95 and 162,571.11 is: 224,342.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,538.21 : 411,972.95 = 162,571.11 : x
  2. Step 2: Convert to fraction form
    298,538.21/411,972.95 = 162,571.11/x
  3. Step 3: Cross multiply
    298,538.21x = 411,972.95 × 162,571.11
  4. Step 4: Simplify right side
    298,538.21x = 66,974,898,633.00
  5. Step 5: Solve for x
    x = 66,974,898,633.00/298,538.21
  6. Step 6: Final answer
    x = 224,342.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.