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Finding the Fourth Proportional to 501,187.71, 690,969.93 and 398,163.72

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Solution

The fourth proportional to 501,187.71, 690,969.93 and 398,163.72 is: 548,934.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,187.71 : 690,969.93 = 398,163.72 : x
  2. Step 2: Convert to fraction form
    501,187.71/690,969.93 = 398,163.72/x
  3. Step 3: Cross multiply
    501,187.71x = 690,969.93 × 398,163.72
  4. Step 4: Simplify right side
    501,187.71x = 275,119,157,736.94
  5. Step 5: Solve for x
    x = 275,119,157,736.94/501,187.71
  6. Step 6: Final answer
    x = 548,934.37

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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.