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Finding the Fourth Proportional to 388,896, 536,676.84 and 210,048

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Solution

The fourth proportional to 388,896, 536,676.84 and 210,048 is: 289,866.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,896 : 536,676.84 = 210,048 : x
  2. Step 2: Convert to fraction form
    388,896/536,676.84 = 210,048/x
  3. Step 3: Cross multiply
    388,896x = 536,676.84 × 210,048
  4. Step 4: Simplify right side
    388,896x = 112,727,896,888.32
  5. Step 5: Solve for x
    x = 112,727,896,888.32/388,896
  6. Step 6: Final answer
    x = 289,866.43

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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.