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Finding the Fourth Proportional to 429,782.14, 642,883.11 and 397,895.68

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Solution

The fourth proportional to 429,782.14, 642,883.11 and 397,895.68 is: 595,186.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,782.14 : 642,883.11 = 397,895.68 : x
  2. Step 2: Convert to fraction form
    429,782.14/642,883.11 = 397,895.68/x
  3. Step 3: Cross multiply
    429,782.14x = 642,883.11 × 397,895.68
  4. Step 4: Simplify right side
    429,782.14x = 255,800,412,213.97
  5. Step 5: Solve for x
    x = 255,800,412,213.97/429,782.14
  6. Step 6: Final answer
    x = 595,186.23

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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.