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Finding the Fourth Proportional to 298,130.44, 411,382.58 and 201,544.40

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Solution

The fourth proportional to 298,130.44, 411,382.58 and 201,544.40 is: 278,105.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,130.44 : 411,382.58 = 201,544.40 : x
  2. Step 2: Convert to fraction form
    298,130.44/411,382.58 = 201,544.40/x
  3. Step 3: Cross multiply
    298,130.44x = 411,382.58 × 201,544.40
  4. Step 4: Simplify right side
    298,130.44x = 82,911,855,256.55
  5. Step 5: Solve for x
    x = 82,911,855,256.55/298,130.44
  6. Step 6: Final answer
    x = 278,105.97

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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.