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Finding the Fourth Proportional to 329,103.80, 492,407.70 and 218,511.80

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Solution

The fourth proportional to 329,103.80, 492,407.70 and 218,511.80 is: 326,939.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,103.80 : 492,407.70 = 218,511.80 : x
  2. Step 2: Convert to fraction form
    329,103.80/492,407.70 = 218,511.80/x
  3. Step 3: Cross multiply
    329,103.80x = 492,407.70 × 218,511.80
  4. Step 4: Simplify right side
    329,103.80x = 107,596,892,860.86
  5. Step 5: Solve for x
    x = 107,596,892,860.86/329,103.80
  6. Step 6: Final answer
    x = 326,939.08

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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.