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Finding the Fourth Proportional to 298,490.42, 411,924.62 and 162,530.10

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Solution

The fourth proportional to 298,490.42, 411,924.62 and 162,530.10 is: 224,295.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,490.42 : 411,924.62 = 162,530.10 : x
  2. Step 2: Convert to fraction form
    298,490.42/411,924.62 = 162,530.10/x
  3. Step 3: Cross multiply
    298,490.42x = 411,924.62 × 162,530.10
  4. Step 4: Simplify right side
    298,490.42x = 66,950,150,087.39
  5. Step 5: Solve for x
    x = 66,950,150,087.39/298,490.42
  6. Step 6: Final answer
    x = 224,295.81

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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.