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Finding the Fourth Proportional to 491,988.88, 678,910.44 and 290,746

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Solution

The fourth proportional to 491,988.88, 678,910.44 and 290,746 is: 401,209.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,988.88 : 678,910.44 = 290,746 : x
  2. Step 2: Convert to fraction form
    491,988.88/678,910.44 = 290,746/x
  3. Step 3: Cross multiply
    491,988.88x = 678,910.44 × 290,746
  4. Step 4: Simplify right side
    491,988.88x = 197,390,494,788.24
  5. Step 5: Solve for x
    x = 197,390,494,788.24/491,988.88
  6. Step 6: Final answer
    x = 401,209.26

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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.