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Finding the Fourth Proportional to 519,391.84, 780,457.70 and 279,682.97

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Solution

The fourth proportional to 519,391.84, 780,457.70 and 279,682.97 is: 420,262.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,391.84 : 780,457.70 = 279,682.97 : x
  2. Step 2: Convert to fraction form
    519,391.84/780,457.70 = 279,682.97/x
  3. Step 3: Cross multiply
    519,391.84x = 780,457.70 × 279,682.97
  4. Step 4: Simplify right side
    519,391.84x = 218,280,727,495.37
  5. Step 5: Solve for x
    x = 218,280,727,495.37/519,391.84
  6. Step 6: Final answer
    x = 420,262.14

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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.