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Finding the Fourth Proportional to 304,420.95, 420,072.21 and 206,104.14

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Solution

The fourth proportional to 304,420.95, 420,072.21 and 206,104.14 is: 284,404.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,420.95 : 420,072.21 = 206,104.14 : x
  2. Step 2: Convert to fraction form
    304,420.95/420,072.21 = 206,104.14/x
  3. Step 3: Cross multiply
    304,420.95x = 420,072.21 × 206,104.14
  4. Step 4: Simplify right side
    304,420.95x = 86,578,621,579.95
  5. Step 5: Solve for x
    x = 86,578,621,579.95/304,420.95
  6. Step 6: Final answer
    x = 284,404.28

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1.5x scale

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.