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Finding the Fourth Proportional to 635,128.10, 952,491.42 and 208,593.65

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Solution

The fourth proportional to 635,128.10, 952,491.42 and 208,593.65 is: 312,824.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,128.10 : 952,491.42 = 208,593.65 : x
  2. Step 2: Convert to fraction form
    635,128.10/952,491.42 = 208,593.65/x
  3. Step 3: Cross multiply
    635,128.10x = 952,491.42 × 208,593.65
  4. Step 4: Simplify right side
    635,128.10x = 198,683,657,129.03
  5. Step 5: Solve for x
    x = 198,683,657,129.03/635,128.10
  6. Step 6: Final answer
    x = 312,824.54

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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.