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Finding the Fourth Proportional to 388,009.28, 535,447.32 and 218,243

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Solution

The fourth proportional to 388,009.28, 535,447.32 and 218,243 is: 301,172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,009.28 : 535,447.32 = 218,243 : x
  2. Step 2: Convert to fraction form
    388,009.28/535,447.32 = 218,243/x
  3. Step 3: Cross multiply
    388,009.28x = 535,447.32 × 218,243
  4. Step 4: Simplify right side
    388,009.28x = 116,857,629,458.76
  5. Step 5: Solve for x
    x = 116,857,629,458.76/388,009.28
  6. Step 6: Final answer
    x = 301,172.25

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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.