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Finding the Fourth Proportional to 300,300.68, 414,386.72 and 203,307.23

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Solution

The fourth proportional to 300,300.68, 414,386.72 and 203,307.23 is: 280,544.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,300.68 : 414,386.72 = 203,307.23 : x
  2. Step 2: Convert to fraction form
    300,300.68/414,386.72 = 203,307.23/x
  3. Step 3: Cross multiply
    300,300.68x = 414,386.72 × 203,307.23
  4. Step 4: Simplify right side
    300,300.68x = 84,247,816,191.99
  5. Step 5: Solve for x
    x = 84,247,816,191.99/300,300.68
  6. Step 6: Final answer
    x = 280,544.87

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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.