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Finding the Fourth Proportional to 330,718.47, 456,356.54 and 194,743.50

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Solution

The fourth proportional to 330,718.47, 456,356.54 and 194,743.50 is: 268,725.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,718.47 : 456,356.54 = 194,743.50 : x
  2. Step 2: Convert to fraction form
    330,718.47/456,356.54 = 194,743.50/x
  3. Step 3: Cross multiply
    330,718.47x = 456,356.54 × 194,743.50
  4. Step 4: Simplify right side
    330,718.47x = 88,872,469,847.49
  5. Step 5: Solve for x
    x = 88,872,469,847.49/330,718.47
  6. Step 6: Final answer
    x = 268,725.45

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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.