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Finding the Fourth Proportional to 345,371.74, 518,410.97 and 285,208.58

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Solution

The fourth proportional to 345,371.74, 518,410.97 and 285,208.58 is: 428,104.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,371.74 : 518,410.97 = 285,208.58 : x
  2. Step 2: Convert to fraction form
    345,371.74/518,410.97 = 285,208.58/x
  3. Step 3: Cross multiply
    345,371.74x = 518,410.97 × 285,208.58
  4. Step 4: Simplify right side
    345,371.74x = 147,855,255,184.08
  5. Step 5: Solve for x
    x = 147,855,255,184.08/345,371.74
  6. Step 6: Final answer
    x = 428,104.68

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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.