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Finding the Fourth Proportional to 328,099.20, 491,878.80 and 148,196.40

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Solution

The fourth proportional to 328,099.20, 491,878.80 and 148,196.40 is: 222,172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,099.20 : 491,878.80 = 148,196.40 : x
  2. Step 2: Convert to fraction form
    328,099.20/491,878.80 = 148,196.40/x
  3. Step 3: Cross multiply
    328,099.20x = 491,878.80 × 148,196.40
  4. Step 4: Simplify right side
    328,099.20x = 72,894,667,396.32
  5. Step 5: Solve for x
    x = 72,894,667,396.32/328,099.20
  6. Step 6: Final answer
    x = 222,172.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.