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Finding the Fourth Proportional to 429,960.15, 644,954.81 and 114,417.36

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Solution

The fourth proportional to 429,960.15, 644,954.81 and 114,417.36 is: 171,629.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,960.15 : 644,954.81 = 114,417.36 : x
  2. Step 2: Convert to fraction form
    429,960.15/644,954.81 = 114,417.36/x
  3. Step 3: Cross multiply
    429,960.15x = 644,954.81 × 114,417.36
  4. Step 4: Simplify right side
    429,960.15x = 73,794,026,107.41
  5. Step 5: Solve for x
    x = 73,794,026,107.41/429,960.15
  6. Step 6: Final answer
    x = 171,629.92

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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.