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Finding the Fourth Proportional to 413,625.80, 620,438.70 and 271,908.20

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Solution

The fourth proportional to 413,625.80, 620,438.70 and 271,908.20 is: 407,862.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,625.80 : 620,438.70 = 271,908.20 : x
  2. Step 2: Convert to fraction form
    413,625.80/620,438.70 = 271,908.20/x
  3. Step 3: Cross multiply
    413,625.80x = 620,438.70 × 271,908.20
  4. Step 4: Simplify right side
    413,625.80x = 168,702,370,127.34
  5. Step 5: Solve for x
    x = 168,702,370,127.34/413,625.80
  6. Step 6: Final answer
    x = 407,862.30

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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.