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Finding the Fourth Proportional to 304,938, 420,814.46 and 185,706

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Solution

The fourth proportional to 304,938, 420,814.46 and 185,706 is: 256,274.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,938 : 420,814.46 = 185,706 : x
  2. Step 2: Convert to fraction form
    304,938/420,814.46 = 185,706/x
  3. Step 3: Cross multiply
    304,938x = 420,814.46 × 185,706
  4. Step 4: Simplify right side
    304,938x = 78,147,770,108.76
  5. Step 5: Solve for x
    x = 78,147,770,108.76/304,938
  6. Step 6: Final answer
    x = 256,274.29

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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.