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Finding the Fourth Proportional to 345,782.84, 518,907.60 and 135,394.52

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Solution

The fourth proportional to 345,782.84, 518,907.60 and 135,394.52 is: 203,183.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,782.84 : 518,907.60 = 135,394.52 : x
  2. Step 2: Convert to fraction form
    345,782.84/518,907.60 = 135,394.52/x
  3. Step 3: Cross multiply
    345,782.84x = 518,907.60 × 135,394.52
  4. Step 4: Simplify right side
    345,782.84x = 70,257,245,426.35
  5. Step 5: Solve for x
    x = 70,257,245,426.35/345,782.84
  6. Step 6: Final answer
    x = 203,183.15

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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.