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Finding the Fourth Proportional to 398,615.40, 597,923.10 and 376,842.60

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Solution

The fourth proportional to 398,615.40, 597,923.10 and 376,842.60 is: 565,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,615.40 : 597,923.10 = 376,842.60 : x
  2. Step 2: Convert to fraction form
    398,615.40/597,923.10 = 376,842.60/x
  3. Step 3: Cross multiply
    398,615.40x = 597,923.10 × 376,842.60
  4. Step 4: Simplify right side
    398,615.40x = 225,322,895,604.06
  5. Step 5: Solve for x
    x = 225,322,895,604.06/398,615.40
  6. Step 6: Final answer
    x = 565,263.90

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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.