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Finding the Fourth Proportional to 330,570, 456,186.60 and 196,434

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Solution

The fourth proportional to 330,570, 456,186.60 and 196,434 is: 271,078.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,570 : 456,186.60 = 196,434 : x
  2. Step 2: Convert to fraction form
    330,570/456,186.60 = 196,434/x
  3. Step 3: Cross multiply
    330,570x = 456,186.60 × 196,434
  4. Step 4: Simplify right side
    330,570x = 89,610,558,584.40
  5. Step 5: Solve for x
    x = 89,610,558,584.40/330,570
  6. Step 6: Final answer
    x = 271,078.92

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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.