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Finding the Fourth Proportional to 491,135.49, 677,762.10 and 273,340.53

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Solution

The fourth proportional to 491,135.49, 677,762.10 and 273,340.53 is: 377,207.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,135.49 : 677,762.10 = 273,340.53 : x
  2. Step 2: Convert to fraction form
    491,135.49/677,762.10 = 273,340.53/x
  3. Step 3: Cross multiply
    491,135.49x = 677,762.10 × 273,340.53
  4. Step 4: Simplify right side
    491,135.49x = 185,259,851,627.91
  5. Step 5: Solve for x
    x = 185,259,851,627.91/491,135.49
  6. Step 6: Final answer
    x = 377,207.22

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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.