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Finding the Fourth Proportional to 329,029.20, 493,241.40 and 328,827.60

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Solution

The fourth proportional to 329,029.20, 493,241.40 and 328,827.60 is: 492,939.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,029.20 : 493,241.40 = 328,827.60 : x
  2. Step 2: Convert to fraction form
    329,029.20/493,241.40 = 328,827.60/x
  3. Step 3: Cross multiply
    329,029.20x = 493,241.40 × 328,827.60
  4. Step 4: Simplify right side
    329,029.20x = 162,191,385,782.64
  5. Step 5: Solve for x
    x = 162,191,385,782.64/329,029.20
  6. Step 6: Final answer
    x = 492,939.19

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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.