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Finding the Fourth Proportional to 397,462.60, 548,990.63 and 288,391.92

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Solution

The fourth proportional to 397,462.60, 548,990.63 and 288,391.92 is: 398,338.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,462.60 : 548,990.63 = 288,391.92 : x
  2. Step 2: Convert to fraction form
    397,462.60/548,990.63 = 288,391.92/x
  3. Step 3: Cross multiply
    397,462.60x = 548,990.63 × 288,391.92
  4. Step 4: Simplify right side
    397,462.60x = 158,324,461,847.71
  5. Step 5: Solve for x
    x = 158,324,461,847.71/397,462.60
  6. Step 6: Final answer
    x = 398,338.01

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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.