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Finding the Fourth Proportional to 388,252.80, 535,766.40 and 218,476.80

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Solution

The fourth proportional to 388,252.80, 535,766.40 and 218,476.80 is: 301,485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,252.80 : 535,766.40 = 218,476.80 : x
  2. Step 2: Convert to fraction form
    388,252.80/535,766.40 = 218,476.80/x
  3. Step 3: Cross multiply
    388,252.80x = 535,766.40 × 218,476.80
  4. Step 4: Simplify right side
    388,252.80x = 117,052,528,619.52
  5. Step 5: Solve for x
    x = 117,052,528,619.52/388,252.80
  6. Step 6: Final answer
    x = 301,485.34

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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.