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Finding the Fourth Proportional to 287,170.51, 430,755.86 and 129,214.43

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Solution

The fourth proportional to 287,170.51, 430,755.86 and 129,214.43 is: 193,821.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,170.51 : 430,755.86 = 129,214.43 : x
  2. Step 2: Convert to fraction form
    287,170.51/430,755.86 = 129,214.43/x
  3. Step 3: Cross multiply
    287,170.51x = 430,755.86 × 129,214.43
  4. Step 4: Simplify right side
    287,170.51x = 55,659,872,272.99
  5. Step 5: Solve for x
    x = 55,659,872,272.99/287,170.51
  6. Step 6: Final answer
    x = 193,821.69

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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.