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Finding the Fourth Proportional to 421,401.60, 632,716.80 and 328,012.80

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Solution

The fourth proportional to 421,401.60, 632,716.80 and 328,012.80 is: 492,497.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,401.60 : 632,716.80 = 328,012.80 : x
  2. Step 2: Convert to fraction form
    421,401.60/632,716.80 = 328,012.80/x
  3. Step 3: Cross multiply
    421,401.60x = 632,716.80 × 328,012.80
  4. Step 4: Simplify right side
    421,401.60x = 207,539,209,175.04
  5. Step 5: Solve for x
    x = 207,539,209,175.04/421,401.60
  6. Step 6: Final answer
    x = 492,497.44

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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.