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Finding the Fourth Proportional to 491,242.68, 677,914.74 and 273,446.64

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Solution

The fourth proportional to 491,242.68, 677,914.74 and 273,446.64 is: 377,356.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,242.68 : 677,914.74 = 273,446.64 : x
  2. Step 2: Convert to fraction form
    491,242.68/677,914.74 = 273,446.64/x
  3. Step 3: Cross multiply
    491,242.68x = 677,914.74 × 273,446.64
  4. Step 4: Simplify right side
    491,242.68x = 185,373,507,859.47
  5. Step 5: Solve for x
    x = 185,373,507,859.47/491,242.68
  6. Step 6: Final answer
    x = 377,356.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.