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Finding the Fourth Proportional to 430,758.32, 646,233.84 and 131,262.33

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Solution

The fourth proportional to 430,758.32, 646,233.84 and 131,262.33 is: 196,922.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,758.32 : 646,233.84 = 131,262.33 : x
  2. Step 2: Convert to fraction form
    430,758.32/646,233.84 = 131,262.33/x
  3. Step 3: Cross multiply
    430,758.32x = 646,233.84 × 131,262.33
  4. Step 4: Simplify right side
    430,758.32x = 84,826,159,563.25
  5. Step 5: Solve for x
    x = 84,826,159,563.25/430,758.32
  6. Step 6: Final answer
    x = 196,922.86

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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.