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Finding the Fourth Proportional to 388,193.38, 535,705.74 and 218,427.52

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Solution

The fourth proportional to 388,193.38, 535,705.74 and 218,427.52 is: 301,429.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,193.38 : 535,705.74 = 218,427.52 : x
  2. Step 2: Convert to fraction form
    388,193.38/535,705.74 = 218,427.52/x
  3. Step 3: Cross multiply
    388,193.38x = 535,705.74 × 218,427.52
  4. Step 4: Simplify right side
    388,193.38x = 117,012,876,237.97
  5. Step 5: Solve for x
    x = 117,012,876,237.97/388,193.38
  6. Step 6: Final answer
    x = 301,429.34

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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.