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Finding the Fourth Proportional to 491,023.88, 677,706.12 and 307,347.68

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Solution

The fourth proportional to 491,023.88, 677,706.12 and 307,347.68 is: 424,198.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,023.88 : 677,706.12 = 307,347.68 : x
  2. Step 2: Convert to fraction form
    491,023.88/677,706.12 = 307,347.68/x
  3. Step 3: Cross multiply
    491,023.88x = 677,706.12 × 307,347.68
  4. Step 4: Simplify right side
    491,023.88x = 208,291,403,703.80
  5. Step 5: Solve for x
    x = 208,291,403,703.80/491,023.88
  6. Step 6: Final answer
    x = 424,198.11

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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.