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Finding the Fourth Proportional to 429,991.39, 645,001.73 and 114,448.60

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Solution

The fourth proportional to 429,991.39, 645,001.73 and 114,448.60 is: 171,676.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,991.39 : 645,001.73 = 114,448.60 : x
  2. Step 2: Convert to fraction form
    429,991.39/645,001.73 = 114,448.60/x
  3. Step 3: Cross multiply
    429,991.39x = 645,001.73 × 114,448.60
  4. Step 4: Simplify right side
    429,991.39x = 73,819,542,674.91
  5. Step 5: Solve for x
    x = 73,819,542,674.91/429,991.39
  6. Step 6: Final answer
    x = 171,676.79

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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.