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Finding the Fourth Proportional to 491,605.13, 678,256.74 and 298,090.49

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Solution

The fourth proportional to 491,605.13, 678,256.74 and 298,090.49 is: 411,268.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,605.13 : 678,256.74 = 298,090.49 : x
  2. Step 2: Convert to fraction form
    491,605.13/678,256.74 = 298,090.49/x
  3. Step 3: Cross multiply
    491,605.13x = 678,256.74 × 298,090.49
  4. Step 4: Simplify right side
    491,605.13x = 202,181,880,581.12
  5. Step 5: Solve for x
    x = 202,181,880,581.12/491,605.13
  6. Step 6: Final answer
    x = 411,268.86

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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.