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Finding the Fourth Proportional to 509,021.81, 702,458.56 and 279,600.31

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Solution

The fourth proportional to 509,021.81, 702,458.56 and 279,600.31 is: 385,853.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,021.81 : 702,458.56 = 279,600.31 : x
  2. Step 2: Convert to fraction form
    509,021.81/702,458.56 = 279,600.31/x
  3. Step 3: Cross multiply
    509,021.81x = 702,458.56 × 279,600.31
  4. Step 4: Simplify right side
    509,021.81x = 196,407,631,138.15
  5. Step 5: Solve for x
    x = 196,407,631,138.15/509,021.81
  6. Step 6: Final answer
    x = 385,853.08

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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.