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Finding the Fourth Proportional to 300,051.36, 414,069.84 and 165,915.36

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Solution

The fourth proportional to 300,051.36, 414,069.84 and 165,915.36 is: 228,962.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,051.36 : 414,069.84 = 165,915.36 : x
  2. Step 2: Convert to fraction form
    300,051.36/414,069.84 = 165,915.36/x
  3. Step 3: Cross multiply
    300,051.36x = 414,069.84 × 165,915.36
  4. Step 4: Simplify right side
    300,051.36x = 68,700,546,568.74
  5. Step 5: Solve for x
    x = 68,700,546,568.74/300,051.36
  6. Step 6: Final answer
    x = 228,962.62

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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.