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Finding the Fourth Proportional to 325,705.80, 488,558.70 and 213,731.40

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Solution

The fourth proportional to 325,705.80, 488,558.70 and 213,731.40 is: 320,597.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,705.80 : 488,558.70 = 213,731.40 : x
  2. Step 2: Convert to fraction form
    325,705.80/488,558.70 = 213,731.40/x
  3. Step 3: Cross multiply
    325,705.80x = 488,558.70 × 213,731.40
  4. Step 4: Simplify right side
    325,705.80x = 104,420,334,933.18
  5. Step 5: Solve for x
    x = 104,420,334,933.18/325,705.80
  6. Step 6: Final answer
    x = 320,597.10

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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.