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Finding the Fourth Proportional to 388,843.58, 536,576.82 and 214,406.02

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Solution

The fourth proportional to 388,843.58, 536,576.82 and 214,406.02 is: 295,865.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,843.58 : 536,576.82 = 214,406.02 : x
  2. Step 2: Convert to fraction form
    388,843.58/536,576.82 = 214,406.02/x
  3. Step 3: Cross multiply
    388,843.58x = 536,576.82 × 214,406.02
  4. Step 4: Simplify right side
    388,843.58x = 115,045,300,400.46
  5. Step 5: Solve for x
    x = 115,045,300,400.46/388,843.58
  6. Step 6: Final answer
    x = 295,865.24

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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.