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Finding the Fourth Proportional to 430,755.32, 646,229.34 and 131,259.34

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Solution

The fourth proportional to 430,755.32, 646,229.34 and 131,259.34 is: 196,918.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,755.32 : 646,229.34 = 131,259.34 : x
  2. Step 2: Convert to fraction form
    430,755.32/646,229.34 = 131,259.34/x
  3. Step 3: Cross multiply
    430,755.32x = 646,229.34 × 131,259.34
  4. Step 4: Simplify right side
    430,755.32x = 84,823,633,829.78
  5. Step 5: Solve for x
    x = 84,823,633,829.78/430,755.32
  6. Step 6: Final answer
    x = 196,918.37

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1.5x scale

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.