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Finding the Fourth Proportional to 289,821.92, 399,878.57 and 167,284.31

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Solution

The fourth proportional to 289,821.92, 399,878.57 and 167,284.31 is: 230,808.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,821.92 : 399,878.57 = 167,284.31 : x
  2. Step 2: Convert to fraction form
    289,821.92/399,878.57 = 167,284.31/x
  3. Step 3: Cross multiply
    289,821.92x = 399,878.57 × 167,284.31
  4. Step 4: Simplify right side
    289,821.92x = 66,893,409,085.05
  5. Step 5: Solve for x
    x = 66,893,409,085.05/289,821.92
  6. Step 6: Final answer
    x = 230,808.66

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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.