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Finding the Fourth Proportional to 392,020.74, 540,415.98 and 277,096.62

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Solution

The fourth proportional to 392,020.74, 540,415.98 and 277,096.62 is: 381,988.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,020.74 : 540,415.98 = 277,096.62 : x
  2. Step 2: Convert to fraction form
    392,020.74/540,415.98 = 277,096.62/x
  3. Step 3: Cross multiply
    392,020.74x = 540,415.98 × 277,096.62
  4. Step 4: Simplify right side
    392,020.74x = 149,747,441,451.99
  5. Step 5: Solve for x
    x = 149,747,441,451.99/392,020.74
  6. Step 6: Final answer
    x = 381,988.57

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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.