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Finding the Fourth Proportional to 300,055.36, 414,075.36 and 165,919.36

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Solution

The fourth proportional to 300,055.36, 414,075.36 and 165,919.36 is: 228,968.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,055.36 : 414,075.36 = 165,919.36 : x
  2. Step 2: Convert to fraction form
    300,055.36/414,075.36 = 165,919.36/x
  3. Step 3: Cross multiply
    300,055.36x = 414,075.36 × 165,919.36
  4. Step 4: Simplify right side
    300,055.36x = 68,703,118,722.97
  5. Step 5: Solve for x
    x = 68,703,118,722.97/300,055.36
  6. Step 6: Final answer
    x = 228,968.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.