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Finding the Fourth Proportional to 300,528.36, 414,711.36 and 164,561.76

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Solution

The fourth proportional to 300,528.36, 414,711.36 and 164,561.76 is: 227,085.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,528.36 : 414,711.36 = 164,561.76 : x
  2. Step 2: Convert to fraction form
    300,528.36/414,711.36 = 164,561.76/x
  3. Step 3: Cross multiply
    300,528.36x = 414,711.36 × 164,561.76
  4. Step 4: Simplify right side
    300,528.36x = 68,245,631,293.59
  5. Step 5: Solve for x
    x = 68,245,631,293.59/300,528.36
  6. Step 6: Final answer
    x = 227,085.49

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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.