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Finding the Fourth Proportional to 277,661.20, 416,491.80 and 137,693.20

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Solution

The fourth proportional to 277,661.20, 416,491.80 and 137,693.20 is: 206,539.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,661.20 : 416,491.80 = 137,693.20 : x
  2. Step 2: Convert to fraction form
    277,661.20/416,491.80 = 137,693.20/x
  3. Step 3: Cross multiply
    277,661.20x = 416,491.80 × 137,693.20
  4. Step 4: Simplify right side
    277,661.20x = 57,348,088,715.76
  5. Step 5: Solve for x
    x = 57,348,088,715.76/277,661.20
  6. Step 6: Final answer
    x = 206,539.80

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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.