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Finding the Fourth Proportional to 429,192.36, 643,788.60 and 162,953.03

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Solution

The fourth proportional to 429,192.36, 643,788.60 and 162,953.03 is: 244,429.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,192.36 : 643,788.60 = 162,953.03 : x
  2. Step 2: Convert to fraction form
    429,192.36/643,788.60 = 162,953.03/x
  3. Step 3: Cross multiply
    429,192.36x = 643,788.60 × 162,953.03
  4. Step 4: Simplify right side
    429,192.36x = 104,907,299,830.52
  5. Step 5: Solve for x
    x = 104,907,299,830.52/429,192.36
  6. Step 6: Final answer
    x = 244,429.56

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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.