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Finding the Fourth Proportional to 287,446.73, 430,843.13 and 174,878.81

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Solution

The fourth proportional to 287,446.73, 430,843.13 and 174,878.81 is: 262,119.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,446.73 : 430,843.13 = 174,878.81 : x
  2. Step 2: Convert to fraction form
    287,446.73/430,843.13 = 174,878.81/x
  3. Step 3: Cross multiply
    287,446.73x = 430,843.13 × 174,878.81
  4. Step 4: Simplify right side
    287,446.73x = 75,345,333,871.08
  5. Step 5: Solve for x
    x = 75,345,333,871.08/287,446.73
  6. Step 6: Final answer
    x = 262,119.29

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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.