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Finding the Fourth Proportional to 405,634.73, 608,453.12 and 165,748.62

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Solution

The fourth proportional to 405,634.73, 608,453.12 and 165,748.62 is: 248,623.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,634.73 : 608,453.12 = 165,748.62 : x
  2. Step 2: Convert to fraction form
    405,634.73/608,453.12 = 165,748.62/x
  3. Step 3: Cross multiply
    405,634.73x = 608,453.12 × 165,748.62
  4. Step 4: Simplify right side
    405,634.73x = 100,850,264,145.95
  5. Step 5: Solve for x
    x = 100,850,264,145.95/405,634.73
  6. Step 6: Final answer
    x = 248,623.35

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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.