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Finding the Fourth Proportional to 329,020.81, 493,531.22 and 118,658.75

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Solution

The fourth proportional to 329,020.81, 493,531.22 and 118,658.75 is: 177,988.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,020.81 : 493,531.22 = 118,658.75 : x
  2. Step 2: Convert to fraction form
    329,020.81/493,531.22 = 118,658.75/x
  3. Step 3: Cross multiply
    329,020.81x = 493,531.22 × 118,658.75
  4. Step 4: Simplify right side
    329,020.81x = 58,561,795,480.17
  5. Step 5: Solve for x
    x = 58,561,795,480.17/329,020.81
  6. Step 6: Final answer
    x = 177,988.12

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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.