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Finding the Fourth Proportional to 488,702.84, 674,409.03 and 297,716.23

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Solution

The fourth proportional to 488,702.84, 674,409.03 and 297,716.23 is: 410,847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,702.84 : 674,409.03 = 297,716.23 : x
  2. Step 2: Convert to fraction form
    488,702.84/674,409.03 = 297,716.23/x
  3. Step 3: Cross multiply
    488,702.84x = 674,409.03 × 297,716.23
  4. Step 4: Simplify right side
    488,702.84x = 200,782,510,517.51
  5. Step 5: Solve for x
    x = 200,782,510,517.51/488,702.84
  6. Step 6: Final answer
    x = 410,847.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.