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Finding the Fourth Proportional to 405,954.32, 608,453.98 and 165,920.13

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Solution

The fourth proportional to 405,954.32, 608,453.98 and 165,920.13 is: 248,685.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,954.32 : 608,453.98 = 165,920.13 : x
  2. Step 2: Convert to fraction form
    405,954.32/608,453.98 = 165,920.13/x
  3. Step 3: Cross multiply
    405,954.32x = 608,453.98 × 165,920.13
  4. Step 4: Simplify right side
    405,954.32x = 100,954,763,045.82
  5. Step 5: Solve for x
    x = 100,954,763,045.82/405,954.32
  6. Step 6: Final answer
    x = 248,685.04

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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.