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Finding the Fourth Proportional to 429,960.75, 644,955.68 and 114,417.96

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Solution

The fourth proportional to 429,960.75, 644,955.68 and 114,417.96 is: 171,630.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,960.75 : 644,955.68 = 114,417.96 : x
  2. Step 2: Convert to fraction form
    429,960.75/644,955.68 = 114,417.96/x
  3. Step 3: Cross multiply
    429,960.75x = 644,955.68 × 114,417.96
  4. Step 4: Simplify right side
    429,960.75x = 73,794,511,063.47
  5. Step 5: Solve for x
    x = 73,794,511,063.47/429,960.75
  6. Step 6: Final answer
    x = 171,630.81

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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.