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Finding the Fourth Proportional to 395,907, 546,353.16 and 214,619.28

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Solution

The fourth proportional to 395,907, 546,353.16 and 214,619.28 is: 296,175.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,907 : 546,353.16 = 214,619.28 : x
  2. Step 2: Convert to fraction form
    395,907/546,353.16 = 214,619.28/x
  3. Step 3: Cross multiply
    395,907x = 546,353.16 × 214,619.28
  4. Step 4: Simplify right side
    395,907x = 117,257,921,824.93
  5. Step 5: Solve for x
    x = 117,257,921,824.93/395,907
  6. Step 6: Final answer
    x = 296,175.42

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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.