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Finding the Fourth Proportional to 430,701.71, 646,003.22 and 115,183.22

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Solution

The fourth proportional to 430,701.71, 646,003.22 and 115,183.22 is: 172,761.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,701.71 : 646,003.22 = 115,183.22 : x
  2. Step 2: Convert to fraction form
    430,701.71/646,003.22 = 115,183.22/x
  3. Step 3: Cross multiply
    430,701.71x = 646,003.22 × 115,183.22
  4. Step 4: Simplify right side
    430,701.71x = 74,408,727,204.04
  5. Step 5: Solve for x
    x = 74,408,727,204.04/430,701.71
  6. Step 6: Final answer
    x = 172,761.63

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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.