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Finding the Fourth Proportional to 270,868.86, 406,696.95 and 200,010.06

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Solution

The fourth proportional to 270,868.86, 406,696.95 and 200,010.06 is: 300,305.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,868.86 : 406,696.95 = 200,010.06 : x
  2. Step 2: Convert to fraction form
    270,868.86/406,696.95 = 200,010.06/x
  3. Step 3: Cross multiply
    270,868.86x = 406,696.95 × 200,010.06
  4. Step 4: Simplify right side
    270,868.86x = 81,343,481,371.32
  5. Step 5: Solve for x
    x = 81,343,481,371.32/270,868.86
  6. Step 6: Final answer
    x = 300,305.77

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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.