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Finding the Fourth Proportional to 289,804.50, 399,854.52 and 167,266.89

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Solution

The fourth proportional to 289,804.50, 399,854.52 and 167,266.89 is: 230,784.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,804.50 : 399,854.52 = 167,266.89 : x
  2. Step 2: Convert to fraction form
    289,804.50/399,854.52 = 167,266.89/x
  3. Step 3: Cross multiply
    289,804.50x = 399,854.52 × 167,266.89
  4. Step 4: Simplify right side
    289,804.50x = 66,882,422,012.84
  5. Step 5: Solve for x
    x = 66,882,422,012.84/289,804.50
  6. Step 6: Final answer
    x = 230,784.62

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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.