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Finding the Fourth Proportional to 328,055.20, 491,391.60 and 265,847.20

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Solution

The fourth proportional to 328,055.20, 491,391.60 and 265,847.20 is: 398,210.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,055.20 : 491,391.60 = 265,847.20 : x
  2. Step 2: Convert to fraction form
    328,055.20/491,391.60 = 265,847.20/x
  3. Step 3: Cross multiply
    328,055.20x = 491,391.60 × 265,847.20
  4. Step 4: Simplify right side
    328,055.20x = 130,635,080,963.52
  5. Step 5: Solve for x
    x = 130,635,080,963.52/328,055.20
  6. Step 6: Final answer
    x = 398,210.67

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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.