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Finding the Fourth Proportional to 395,114.38, 545,257.80 and 213,826.30

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Solution

The fourth proportional to 395,114.38, 545,257.80 and 213,826.30 is: 295,080.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,114.38 : 545,257.80 = 213,826.30 : x
  2. Step 2: Convert to fraction form
    395,114.38/545,257.80 = 213,826.30/x
  3. Step 3: Cross multiply
    395,114.38x = 545,257.80 × 213,826.30
  4. Step 4: Simplify right side
    395,114.38x = 116,590,457,920.14
  5. Step 5: Solve for x
    x = 116,590,457,920.14/395,114.38
  6. Step 6: Final answer
    x = 295,080.27

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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.