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Finding the Fourth Proportional to 287,979.65, 431,980.41 and 110,504.60

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Solution

The fourth proportional to 287,979.65, 431,980.41 and 110,504.60 is: 165,761.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,979.65 : 431,980.41 = 110,504.60 : x
  2. Step 2: Convert to fraction form
    287,979.65/431,980.41 = 110,504.60/x
  3. Step 3: Cross multiply
    287,979.65x = 431,980.41 × 110,504.60
  4. Step 4: Simplify right side
    287,979.65x = 47,735,822,414.89
  5. Step 5: Solve for x
    x = 47,735,822,414.89/287,979.65
  6. Step 6: Final answer
    x = 165,761.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.