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Finding the Fourth Proportional to 429,557.88, 644,286.78 and 114,039.30

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Solution

The fourth proportional to 429,557.88, 644,286.78 and 114,039.30 is: 171,045.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,557.88 : 644,286.78 = 114,039.30 : x
  2. Step 2: Convert to fraction form
    429,557.88/644,286.78 = 114,039.30/x
  3. Step 3: Cross multiply
    429,557.88x = 644,286.78 × 114,039.30
  4. Step 4: Simplify right side
    429,557.88x = 73,474,013,390.45
  5. Step 5: Solve for x
    x = 73,474,013,390.45/429,557.88
  6. Step 6: Final answer
    x = 171,045.67

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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.