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Finding the Fourth Proportional to 395,407.14, 545,669.37 and 216,559.14

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Solution

The fourth proportional to 395,407.14, 545,669.37 and 216,559.14 is: 298,855.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,407.14 : 545,669.37 = 216,559.14 : x
  2. Step 2: Convert to fraction form
    395,407.14/545,669.37 = 216,559.14/x
  3. Step 3: Cross multiply
    395,407.14x = 545,669.37 × 216,559.14
  4. Step 4: Simplify right side
    395,407.14x = 118,169,689,491.54
  5. Step 5: Solve for x
    x = 118,169,689,491.54/395,407.14
  6. Step 6: Final answer
    x = 298,855.73

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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.