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Finding the Fourth Proportional to 405,990.36, 608,507.91 and 165,956.13

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Solution

The fourth proportional to 405,990.36, 608,507.91 and 165,956.13 is: 248,738.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,990.36 : 608,507.91 = 165,956.13 : x
  2. Step 2: Convert to fraction form
    405,990.36/608,507.91 = 165,956.13/x
  3. Step 3: Cross multiply
    405,990.36x = 608,507.91 × 165,956.13
  4. Step 4: Simplify right side
    405,990.36x = 100,985,617,817.99
  5. Step 5: Solve for x
    x = 100,985,617,817.99/405,990.36
  6. Step 6: Final answer
    x = 248,738.95

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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.