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Finding the Fourth Proportional to 328,051.20, 491,385.60 and 265,843.20

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Solution

The fourth proportional to 328,051.20, 491,385.60 and 265,843.20 is: 398,204.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,051.20 : 491,385.60 = 265,843.20 : x
  2. Step 2: Convert to fraction form
    328,051.20/491,385.60 = 265,843.20/x
  3. Step 3: Cross multiply
    328,051.20x = 491,385.60 × 265,843.20
  4. Step 4: Simplify right side
    328,051.20x = 130,631,520,337.92
  5. Step 5: Solve for x
    x = 130,631,520,337.92/328,051.20
  6. Step 6: Final answer
    x = 398,204.67

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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.