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Finding the Fourth Proportional to 298,356.16, 411,733.22 and 162,389.79

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Solution

The fourth proportional to 298,356.16, 411,733.22 and 162,389.79 is: 224,098.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,356.16 : 411,733.22 = 162,389.79 : x
  2. Step 2: Convert to fraction form
    298,356.16/411,733.22 = 162,389.79/x
  3. Step 3: Cross multiply
    298,356.16x = 411,733.22 × 162,389.79
  4. Step 4: Simplify right side
    298,356.16x = 66,861,271,131.82
  5. Step 5: Solve for x
    x = 66,861,271,131.82/298,356.16
  6. Step 6: Final answer
    x = 224,098.85

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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.