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Finding the Fourth Proportional to 271,685.63, 406,998.28 and 177,907.07

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Solution

The fourth proportional to 271,685.63, 406,998.28 and 177,907.07 is: 266,513.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,685.63 : 406,998.28 = 177,907.07 : x
  2. Step 2: Convert to fraction form
    271,685.63/406,998.28 = 177,907.07/x
  3. Step 3: Cross multiply
    271,685.63x = 406,998.28 × 177,907.07
  4. Step 4: Simplify right side
    271,685.63x = 72,407,871,489.84
  5. Step 5: Solve for x
    x = 72,407,871,489.84/271,685.63
  6. Step 6: Final answer
    x = 266,513.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.