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Finding the Fourth Proportional to 325,813.80, 488,490.30 and 148,405.80

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Solution

The fourth proportional to 325,813.80, 488,490.30 and 148,405.80 is: 222,503.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,813.80 : 488,490.30 = 148,405.80 : x
  2. Step 2: Convert to fraction form
    325,813.80/488,490.30 = 148,405.80/x
  3. Step 3: Cross multiply
    325,813.80x = 488,490.30 × 148,405.80
  4. Step 4: Simplify right side
    325,813.80x = 72,494,793,763.74
  5. Step 5: Solve for x
    x = 72,494,793,763.74/325,813.80
  6. Step 6: Final answer
    x = 222,503.75

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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.