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Finding the Fourth Proportional to 395,901, 546,344.88 and 214,613.28

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Solution

The fourth proportional to 395,901, 546,344.88 and 214,613.28 is: 296,167.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,901 : 546,344.88 = 214,613.28 : x
  2. Step 2: Convert to fraction form
    395,901/546,344.88 = 214,613.28/x
  3. Step 3: Cross multiply
    395,901x = 546,344.88 × 214,613.28
  4. Step 4: Simplify right side
    395,901x = 117,252,866,708.01
  5. Step 5: Solve for x
    x = 117,252,866,708.01/395,901
  6. Step 6: Final answer
    x = 296,167.14

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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.