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Finding the Fourth Proportional to 328,063.60, 491,785.80 and 178,082.80

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Solution

The fourth proportional to 328,063.60, 491,785.80 and 178,082.80 is: 266,956.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,063.60 : 491,785.80 = 178,082.80 : x
  2. Step 2: Convert to fraction form
    328,063.60/491,785.80 = 178,082.80/x
  3. Step 3: Cross multiply
    328,063.60x = 491,785.80 × 178,082.80
  4. Step 4: Simplify right side
    328,063.60x = 87,578,592,264.24
  5. Step 5: Solve for x
    x = 87,578,592,264.24/328,063.60
  6. Step 6: Final answer
    x = 266,956.14

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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.