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Finding the Fourth Proportional to 455,049, 682,042.02 and 342,367.20

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Solution

The fourth proportional to 455,049, 682,042.02 and 342,367.20 is: 513,150.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,049 : 682,042.02 = 342,367.20 : x
  2. Step 2: Convert to fraction form
    455,049/682,042.02 = 342,367.20/x
  3. Step 3: Cross multiply
    455,049x = 682,042.02 × 342,367.20
  4. Step 4: Simplify right side
    455,049x = 233,508,816,669.74
  5. Step 5: Solve for x
    x = 233,508,816,669.74/455,049
  6. Step 6: Final answer
    x = 513,150.93

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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.