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Finding the Fourth Proportional to 429,754.88, 644,631.68 and 114,211.82

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Solution

The fourth proportional to 429,754.88, 644,631.68 and 114,211.82 is: 171,317.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,754.88 : 644,631.68 = 114,211.82 : x
  2. Step 2: Convert to fraction form
    429,754.88/644,631.68 = 114,211.82/x
  3. Step 3: Cross multiply
    429,754.88x = 644,631.68 × 114,211.82
  4. Step 4: Simplify right side
    429,754.88x = 73,624,559,299.57
  5. Step 5: Solve for x
    x = 73,624,559,299.57/429,754.88
  6. Step 6: Final answer
    x = 171,317.56

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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.