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Finding the Fourth Proportional to 398,477.28, 597,858 and 198,780

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Solution

The fourth proportional to 398,477.28, 597,858 and 198,780 is: 298,240.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,477.28 : 597,858 = 198,780 : x
  2. Step 2: Convert to fraction form
    398,477.28/597,858 = 198,780/x
  3. Step 3: Cross multiply
    398,477.28x = 597,858 × 198,780
  4. Step 4: Simplify right side
    398,477.28x = 118,842,213,240
  5. Step 5: Solve for x
    x = 118,842,213,240/398,477.28
  6. Step 6: Final answer
    x = 298,240.88

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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.