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Finding the Fourth Proportional to 308,090.96, 462,191.04 and 139,604.48

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Solution

The fourth proportional to 308,090.96, 462,191.04 and 139,604.48 is: 209,431.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,090.96 : 462,191.04 = 139,604.48 : x
  2. Step 2: Convert to fraction form
    308,090.96/462,191.04 = 139,604.48/x
  3. Step 3: Cross multiply
    308,090.96x = 462,191.04 × 139,604.48
  4. Step 4: Simplify right side
    308,090.96x = 64,523,939,799.86
  5. Step 5: Solve for x
    x = 64,523,939,799.86/308,090.96
  6. Step 6: Final answer
    x = 209,431.46

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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.