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Finding the Fourth Proportional to 395,098.40, 545,231.62 and 213,806.36

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Solution

The fourth proportional to 395,098.40, 545,231.62 and 213,806.36 is: 295,050.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,098.40 : 545,231.62 = 213,806.36 : x
  2. Step 2: Convert to fraction form
    395,098.40/545,231.62 = 213,806.36/x
  3. Step 3: Cross multiply
    395,098.40x = 545,231.62 × 213,806.36
  4. Step 4: Simplify right side
    395,098.40x = 116,573,988,029.10
  5. Step 5: Solve for x
    x = 116,573,988,029.10/395,098.40
  6. Step 6: Final answer
    x = 295,050.52

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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.