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Finding the Fourth Proportional to 491,008.11, 677,684.26 and 307,331.88

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Solution

The fourth proportional to 491,008.11, 677,684.26 and 307,331.88 is: 424,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,008.11 : 677,684.26 = 307,331.88 : x
  2. Step 2: Convert to fraction form
    491,008.11/677,684.26 = 307,331.88/x
  3. Step 3: Cross multiply
    491,008.11x = 677,684.26 × 307,331.88
  4. Step 4: Simplify right side
    491,008.11x = 208,273,977,672.21
  5. Step 5: Solve for x
    x = 208,273,977,672.21/491,008.11
  6. Step 6: Final answer
    x = 424,176.25

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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.