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Finding the Fourth Proportional to 298,311, 411,669.24 and 162,345.48

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Solution

The fourth proportional to 298,311, 411,669.24 and 162,345.48 is: 224,036.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,311 : 411,669.24 = 162,345.48 : x
  2. Step 2: Convert to fraction form
    298,311/411,669.24 = 162,345.48/x
  3. Step 3: Cross multiply
    298,311x = 411,669.24 × 162,345.48
  4. Step 4: Simplify right side
    298,311x = 66,832,640,369.04
  5. Step 5: Solve for x
    x = 66,832,640,369.04/298,311
  6. Step 6: Final answer
    x = 224,036.80

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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.