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Finding the Fourth Proportional to 329,039.20, 493,256.40 and 328,837.60

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Solution

The fourth proportional to 329,039.20, 493,256.40 and 328,837.60 is: 492,954.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,039.20 : 493,256.40 = 328,837.60 : x
  2. Step 2: Convert to fraction form
    329,039.20/493,256.40 = 328,837.60/x
  3. Step 3: Cross multiply
    329,039.20x = 493,256.40 × 328,837.60
  4. Step 4: Simplify right side
    329,039.20x = 162,201,250,760.64
  5. Step 5: Solve for x
    x = 162,201,250,760.64/329,039.20
  6. Step 6: Final answer
    x = 492,954.19

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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.