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Finding the Fourth Proportional to 668,400.12, 1,002,717.09 and 398,743.02

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Solution

The fourth proportional to 668,400.12, 1,002,717.09 and 398,743.02 is: 598,184.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,400.12 : 1,002,717.09 = 398,743.02 : x
  2. Step 2: Convert to fraction form
    668,400.12/1,002,717.09 = 398,743.02/x
  3. Step 3: Cross multiply
    668,400.12x = 1,002,717.09 × 398,743.02
  4. Step 4: Simplify right side
    668,400.12x = 399,826,440,672.21
  5. Step 5: Solve for x
    x = 399,826,440,672.21/668,400.12
  6. Step 6: Final answer
    x = 598,184.27

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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.