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Finding the Fourth Proportional to 395,976.84, 546,452.10 and 214,689.12

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Solution

The fourth proportional to 395,976.84, 546,452.10 and 214,689.12 is: 296,273.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,976.84 : 546,452.10 = 214,689.12 : x
  2. Step 2: Convert to fraction form
    395,976.84/546,452.10 = 214,689.12/x
  3. Step 3: Cross multiply
    395,976.84x = 546,452.10 × 214,689.12
  4. Step 4: Simplify right side
    395,976.84x = 117,317,320,471.15
  5. Step 5: Solve for x
    x = 117,317,320,471.15/395,976.84
  6. Step 6: Final answer
    x = 296,273.19

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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.