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Finding the Fourth Proportional to 300,309.59, 414,427.23 and 164,343.53

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Solution

The fourth proportional to 300,309.59, 414,427.23 and 164,343.53 is: 226,794.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,309.59 : 414,427.23 = 164,343.53 : x
  2. Step 2: Convert to fraction form
    300,309.59/414,427.23 = 164,343.53/x
  3. Step 3: Cross multiply
    300,309.59x = 414,427.23 × 164,343.53
  4. Step 4: Simplify right side
    300,309.59x = 68,108,431,834.19
  5. Step 5: Solve for x
    x = 68,108,431,834.19/300,309.59
  6. Step 6: Final answer
    x = 226,794.07

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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.