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Finding the Fourth Proportional to 509,713.02, 702,367.43 and 394,290.63

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Solution

The fourth proportional to 509,713.02, 702,367.43 and 394,290.63 is: 543,319.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,713.02 : 702,367.43 = 394,290.63 : x
  2. Step 2: Convert to fraction form
    509,713.02/702,367.43 = 394,290.63/x
  3. Step 3: Cross multiply
    509,713.02x = 702,367.43 × 394,290.63
  4. Step 4: Simplify right side
    509,713.02x = 276,936,894,494.73
  5. Step 5: Solve for x
    x = 276,936,894,494.73/509,713.02
  6. Step 6: Final answer
    x = 543,319.25

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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.