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Finding the Fourth Proportional to 395,208, 545,387.04 and 216,360

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Solution

The fourth proportional to 395,208, 545,387.04 and 216,360 is: 298,576.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,208 : 545,387.04 = 216,360 : x
  2. Step 2: Convert to fraction form
    395,208/545,387.04 = 216,360/x
  3. Step 3: Cross multiply
    395,208x = 545,387.04 × 216,360
  4. Step 4: Simplify right side
    395,208x = 117,999,939,974.40
  5. Step 5: Solve for x
    x = 117,999,939,974.40/395,208
  6. Step 6: Final answer
    x = 298,576.80

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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.