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Finding the Fourth Proportional to 330,767.49, 456,479.06 and 194,892

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Solution

The fourth proportional to 330,767.49, 456,479.06 and 194,892 is: 268,962.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,767.49 : 456,479.06 = 194,892 : x
  2. Step 2: Convert to fraction form
    330,767.49/456,479.06 = 194,892/x
  3. Step 3: Cross multiply
    330,767.49x = 456,479.06 × 194,892
  4. Step 4: Simplify right side
    330,767.49x = 88,964,116,961.52
  5. Step 5: Solve for x
    x = 88,964,116,961.52/330,767.49
  6. Step 6: Final answer
    x = 268,962.70

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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.