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Finding the Fourth Proportional to 328,065.20, 491,406.60 and 265,857.20

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Solution

The fourth proportional to 328,065.20, 491,406.60 and 265,857.20 is: 398,225.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,065.20 : 491,406.60 = 265,857.20 : x
  2. Step 2: Convert to fraction form
    328,065.20/491,406.60 = 265,857.20/x
  3. Step 3: Cross multiply
    328,065.20x = 491,406.60 × 265,857.20
  4. Step 4: Simplify right side
    328,065.20x = 130,643,982,737.52
  5. Step 5: Solve for x
    x = 130,643,982,737.52/328,065.20
  6. Step 6: Final answer
    x = 398,225.67

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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.