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Finding the Fourth Proportional to 825,506.28, 1,238,004 and 398,777.04

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Solution

The fourth proportional to 825,506.28, 1,238,004 and 398,777.04 is: 598,042.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,506.28 : 1,238,004 = 398,777.04 : x
  2. Step 2: Convert to fraction form
    825,506.28/1,238,004 = 398,777.04/x
  3. Step 3: Cross multiply
    825,506.28x = 1,238,004 × 398,777.04
  4. Step 4: Simplify right side
    825,506.28x = 493,687,570,628.16
  5. Step 5: Solve for x
    x = 493,687,570,628.16/825,506.28
  6. Step 6: Final answer
    x = 598,042.17

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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.