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Finding the Fourth Proportional to 329,379.40, 494,098.35 and 137,211.40

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Solution

The fourth proportional to 329,379.40, 494,098.35 and 137,211.40 is: 205,829.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,379.40 : 494,098.35 = 137,211.40 : x
  2. Step 2: Convert to fraction form
    329,379.40/494,098.35 = 137,211.40/x
  3. Step 3: Cross multiply
    329,379.40x = 494,098.35 × 137,211.40
  4. Step 4: Simplify right side
    329,379.40x = 67,795,926,341.19
  5. Step 5: Solve for x
    x = 67,795,926,341.19/329,379.40
  6. Step 6: Final answer
    x = 205,829.28

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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.