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Finding the Fourth Proportional to 308,973.60, 463,114.80 and 131,450.40

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Solution

The fourth proportional to 308,973.60, 463,114.80 and 131,450.40 is: 197,028.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,973.60 : 463,114.80 = 131,450.40 : x
  2. Step 2: Convert to fraction form
    308,973.60/463,114.80 = 131,450.40/x
  3. Step 3: Cross multiply
    308,973.60x = 463,114.80 × 131,450.40
  4. Step 4: Simplify right side
    308,973.60x = 60,876,625,705.92
  5. Step 5: Solve for x
    x = 60,876,625,705.92/308,973.60
  6. Step 6: Final answer
    x = 197,028.57

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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.