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Finding the Fourth Proportional to 475,825.88, 713,738.82 and 143,401.88

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Solution

The fourth proportional to 475,825.88, 713,738.82 and 143,401.88 is: 215,102.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,825.88 : 713,738.82 = 143,401.88 : x
  2. Step 2: Convert to fraction form
    475,825.88/713,738.82 = 143,401.88/x
  3. Step 3: Cross multiply
    475,825.88x = 713,738.82 × 143,401.88
  4. Step 4: Simplify right side
    475,825.88x = 102,351,485,048.29
  5. Step 5: Solve for x
    x = 102,351,485,048.29/475,825.88
  6. Step 6: Final answer
    x = 215,102.81

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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.