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Finding the Fourth Proportional to 328,971, 453,979.98 and 178,069.08

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Solution

The fourth proportional to 328,971, 453,979.98 and 178,069.08 is: 245,735.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,971 : 453,979.98 = 178,069.08 : x
  2. Step 2: Convert to fraction form
    328,971/453,979.98 = 178,069.08/x
  3. Step 3: Cross multiply
    328,971x = 453,979.98 × 178,069.08
  4. Step 4: Simplify right side
    328,971x = 80,839,797,377.02
  5. Step 5: Solve for x
    x = 80,839,797,377.02/328,971
  6. Step 6: Final answer
    x = 245,735.33

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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.