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Finding the Fourth Proportional to 395,857, 546,317.22 and 217,043.56

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Solution

The fourth proportional to 395,857, 546,317.22 and 217,043.56 is: 299,539.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,857 : 546,317.22 = 217,043.56 : x
  2. Step 2: Convert to fraction form
    395,857/546,317.22 = 217,043.56/x
  3. Step 3: Cross multiply
    395,857x = 546,317.22 × 217,043.56
  4. Step 4: Simplify right side
    395,857x = 118,574,634,318.10
  5. Step 5: Solve for x
    x = 118,574,634,318.10/395,857
  6. Step 6: Final answer
    x = 299,539.06

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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.