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Finding the Fourth Proportional to 298,239.40, 411,436.52 and 201,411.80

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Solution

The fourth proportional to 298,239.40, 411,436.52 and 201,411.80 is: 277,857.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,239.40 : 411,436.52 = 201,411.80 : x
  2. Step 2: Convert to fraction form
    298,239.40/411,436.52 = 201,411.80/x
  3. Step 3: Cross multiply
    298,239.40x = 411,436.52 × 201,411.80
  4. Step 4: Simplify right side
    298,239.40x = 82,868,170,078.94
  5. Step 5: Solve for x
    x = 82,868,170,078.94/298,239.40
  6. Step 6: Final answer
    x = 277,857.89

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1.5x scale

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.