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Finding the Fourth Proportional to 283,866.22, 391,730.45 and 154,805.69

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Solution

The fourth proportional to 283,866.22, 391,730.45 and 154,805.69 is: 213,629.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,866.22 : 391,730.45 = 154,805.69 : x
  2. Step 2: Convert to fraction form
    283,866.22/391,730.45 = 154,805.69/x
  3. Step 3: Cross multiply
    283,866.22x = 391,730.45 × 154,805.69
  4. Step 4: Simplify right side
    283,866.22x = 60,642,101,832.23
  5. Step 5: Solve for x
    x = 60,642,101,832.23/283,866.22
  6. Step 6: Final answer
    x = 213,629.16

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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.