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Finding the Fourth Proportional to 213,950.85, 320,401.40 and 143,616.93

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Solution

The fourth proportional to 213,950.85, 320,401.40 and 143,616.93 is: 215,073.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,950.85 : 320,401.40 = 143,616.93 : x
  2. Step 2: Convert to fraction form
    213,950.85/320,401.40 = 143,616.93/x
  3. Step 3: Cross multiply
    213,950.85x = 320,401.40 × 143,616.93
  4. Step 4: Simplify right side
    213,950.85x = 46,015,064,717.62
  5. Step 5: Solve for x
    x = 46,015,064,717.62/213,950.85
  6. Step 6: Final answer
    x = 215,073.06

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1.5x scale

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.