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Finding the Fourth Proportional to 599,709.96, 827,519.76 and 385,140.42

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Solution

The fourth proportional to 599,709.96, 827,519.76 and 385,140.42 is: 531,442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,709.96 : 827,519.76 = 385,140.42 : x
  2. Step 2: Convert to fraction form
    599,709.96/827,519.76 = 385,140.42/x
  3. Step 3: Cross multiply
    599,709.96x = 827,519.76 × 385,140.42
  4. Step 4: Simplify right side
    599,709.96x = 318,711,307,924.70
  5. Step 5: Solve for x
    x = 318,711,307,924.70/599,709.96
  6. Step 6: Final answer
    x = 531,442.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.