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Finding the Fourth Proportional to 429,771.90, 644,436.37 and 192,911.56

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Solution

The fourth proportional to 429,771.90, 644,436.37 and 192,911.56 is: 289,267.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,771.90 : 644,436.37 = 192,911.56 : x
  2. Step 2: Convert to fraction form
    429,771.90/644,436.37 = 192,911.56/x
  3. Step 3: Cross multiply
    429,771.90x = 644,436.37 × 192,911.56
  4. Step 4: Simplify right side
    429,771.90x = 124,319,225,457.44
  5. Step 5: Solve for x
    x = 124,319,225,457.44/429,771.90
  6. Step 6: Final answer
    x = 289,267.92

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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.