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Finding the Fourth Proportional to 304,613, 419,614.80 and 259,145.36

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Solution

The fourth proportional to 304,613, 419,614.80 and 259,145.36 is: 356,981.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,613 : 419,614.80 = 259,145.36 : x
  2. Step 2: Convert to fraction form
    304,613/419,614.80 = 259,145.36/x
  3. Step 3: Cross multiply
    304,613x = 419,614.80 × 259,145.36
  4. Step 4: Simplify right side
    304,613x = 108,741,228,407.33
  5. Step 5: Solve for x
    x = 108,741,228,407.33/304,613
  6. Step 6: Final answer
    x = 356,981.57

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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.