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Finding the Fourth Proportional to 304,219.05, 455,453.78 and 186,121.05

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Solution

The fourth proportional to 304,219.05, 455,453.78 and 186,121.05 is: 278,646.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,219.05 : 455,453.78 = 186,121.05 : x
  2. Step 2: Convert to fraction form
    304,219.05/455,453.78 = 186,121.05/x
  3. Step 3: Cross multiply
    304,219.05x = 455,453.78 × 186,121.05
  4. Step 4: Simplify right side
    304,219.05x = 84,769,534,829.46
  5. Step 5: Solve for x
    x = 84,769,534,829.46/304,219.05
  6. Step 6: Final answer
    x = 278,646.37

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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.