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Finding the Fourth Proportional to 277,489.40, 416,234.10 and 277,489.40

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Solution

The fourth proportional to 277,489.40, 416,234.10 and 277,489.40 is: 416,234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,489.40 : 416,234.10 = 277,489.40 : x
  2. Step 2: Convert to fraction form
    277,489.40/416,234.10 = 277,489.40/x
  3. Step 3: Cross multiply
    277,489.40x = 416,234.10 × 277,489.40
  4. Step 4: Simplify right side
    277,489.40x = 115,500,550,668.54
  5. Step 5: Solve for x
    x = 115,500,550,668.54/277,489.40
  6. Step 6: Final answer
    x = 416,234.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.