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Finding the Fourth Proportional to 388,809, 536,556.42 and 209,961

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Solution

The fourth proportional to 388,809, 536,556.42 and 209,961 is: 289,746.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,809 : 536,556.42 = 209,961 : x
  2. Step 2: Convert to fraction form
    388,809/536,556.42 = 209,961/x
  3. Step 3: Cross multiply
    388,809x = 536,556.42 × 209,961
  4. Step 4: Simplify right side
    388,809x = 112,655,922,499.62
  5. Step 5: Solve for x
    x = 112,655,922,499.62/388,809
  6. Step 6: Final answer
    x = 289,746.18

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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.