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Finding the Fourth Proportional to 330,698.97, 456,447.27 and 203,300.76

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Solution

The fourth proportional to 330,698.97, 456,447.27 and 203,300.76 is: 280,605.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,698.97 : 456,447.27 = 203,300.76 : x
  2. Step 2: Convert to fraction form
    330,698.97/456,447.27 = 203,300.76/x
  3. Step 3: Cross multiply
    330,698.97x = 456,447.27 × 203,300.76
  4. Step 4: Simplify right side
    330,698.97x = 92,796,076,890.93
  5. Step 5: Solve for x
    x = 92,796,076,890.93/330,698.97
  6. Step 6: Final answer
    x = 280,605.88

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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.