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Finding the Fourth Proportional to 413,401.80, 620,102.70 and 385,408.20

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Solution

The fourth proportional to 413,401.80, 620,102.70 and 385,408.20 is: 578,112.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,401.80 : 620,102.70 = 385,408.20 : x
  2. Step 2: Convert to fraction form
    413,401.80/620,102.70 = 385,408.20/x
  3. Step 3: Cross multiply
    413,401.80x = 620,102.70 × 385,408.20
  4. Step 4: Simplify right side
    413,401.80x = 238,992,665,422.14
  5. Step 5: Solve for x
    x = 238,992,665,422.14/413,401.80
  6. Step 6: Final answer
    x = 578,112.30

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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.