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Finding the Fourth Proportional to 277,384.40, 416,076.60 and 265,720.40

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Solution

The fourth proportional to 277,384.40, 416,076.60 and 265,720.40 is: 398,580.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,384.40 : 416,076.60 = 265,720.40 : x
  2. Step 2: Convert to fraction form
    277,384.40/416,076.60 = 265,720.40/x
  3. Step 3: Cross multiply
    277,384.40x = 416,076.60 × 265,720.40
  4. Step 4: Simplify right side
    277,384.40x = 110,560,040,582.64
  5. Step 5: Solve for x
    x = 110,560,040,582.64/277,384.40
  6. Step 6: Final answer
    x = 398,580.60

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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.