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Finding the Fourth Proportional to 649,090.78, 895,743.02 and 358,694.32

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Solution

The fourth proportional to 649,090.78, 895,743.02 and 358,694.32 is: 494,996.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,090.78 : 895,743.02 = 358,694.32 : x
  2. Step 2: Convert to fraction form
    649,090.78/895,743.02 = 358,694.32/x
  3. Step 3: Cross multiply
    649,090.78x = 895,743.02 × 358,694.32
  4. Step 4: Simplify right side
    649,090.78x = 321,297,933,453.65
  5. Step 5: Solve for x
    x = 321,297,933,453.65/649,090.78
  6. Step 6: Final answer
    x = 494,996.91

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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.