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Finding the Fourth Proportional to 342,074.80, 512,894.86 and 300,039.29

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Solution

The fourth proportional to 342,074.80, 512,894.86 and 300,039.29 is: 449,868.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,074.80 : 512,894.86 = 300,039.29 : x
  2. Step 2: Convert to fraction form
    342,074.80/512,894.86 = 300,039.29/x
  3. Step 3: Cross multiply
    342,074.80x = 512,894.86 × 300,039.29
  4. Step 4: Simplify right side
    342,074.80x = 153,888,609,091.69
  5. Step 5: Solve for x
    x = 153,888,609,091.69/342,074.80
  6. Step 6: Final answer
    x = 449,868.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.