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Finding the Fourth Proportional to 429,950.37, 644,940.14 and 114,407.58

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Solution

The fourth proportional to 429,950.37, 644,940.14 and 114,407.58 is: 171,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,950.37 : 644,940.14 = 114,407.58 : x
  2. Step 2: Convert to fraction form
    429,950.37/644,940.14 = 114,407.58/x
  3. Step 3: Cross multiply
    429,950.37x = 644,940.14 × 114,407.58
  4. Step 4: Simplify right side
    429,950.37x = 73,786,040,090.22
  5. Step 5: Solve for x
    x = 73,786,040,090.22/429,950.37
  6. Step 6: Final answer
    x = 171,615.25

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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.