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Finding the Fourth Proportional to 287,446.23, 430,842.38 and 174,878.30

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Solution

The fourth proportional to 287,446.23, 430,842.38 and 174,878.30 is: 262,118.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,446.23 : 430,842.38 = 174,878.30 : x
  2. Step 2: Convert to fraction form
    287,446.23/430,842.38 = 174,878.30/x
  3. Step 3: Cross multiply
    287,446.23x = 430,842.38 × 174,878.30
  4. Step 4: Simplify right side
    287,446.23x = 75,344,982,982.35
  5. Step 5: Solve for x
    x = 75,344,982,982.35/287,446.23
  6. Step 6: Final answer
    x = 262,118.53

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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.