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Finding the Fourth Proportional to 388,852, 536,615.76 and 210,004

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Solution

The fourth proportional to 388,852, 536,615.76 and 210,004 is: 289,805.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,852 : 536,615.76 = 210,004 : x
  2. Step 2: Convert to fraction form
    388,852/536,615.76 = 210,004/x
  3. Step 3: Cross multiply
    388,852x = 536,615.76 × 210,004
  4. Step 4: Simplify right side
    388,852x = 112,691,456,063.04
  5. Step 5: Solve for x
    x = 112,691,456,063.04/388,852
  6. Step 6: Final answer
    x = 289,805.52

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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.