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Finding the Fourth Proportional to 413,636.30, 620,454.45 and 271,918.70

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Solution

The fourth proportional to 413,636.30, 620,454.45 and 271,918.70 is: 407,878.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,636.30 : 620,454.45 = 271,918.70 : x
  2. Step 2: Convert to fraction form
    413,636.30/620,454.45 = 271,918.70/x
  3. Step 3: Cross multiply
    413,636.30x = 620,454.45 × 271,918.70
  4. Step 4: Simplify right side
    413,636.30x = 168,713,167,453.22
  5. Step 5: Solve for x
    x = 168,713,167,453.22/413,636.30
  6. Step 6: Final answer
    x = 407,878.05

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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.