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Finding the Fourth Proportional to 287,438.22, 431,160.03 and 100,450.26

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Solution

The fourth proportional to 287,438.22, 431,160.03 and 100,450.26 is: 150,676.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,438.22 : 431,160.03 = 100,450.26 : x
  2. Step 2: Convert to fraction form
    287,438.22/431,160.03 = 100,450.26/x
  3. Step 3: Cross multiply
    287,438.22x = 431,160.03 × 100,450.26
  4. Step 4: Simplify right side
    287,438.22x = 43,310,137,115.11
  5. Step 5: Solve for x
    x = 43,310,137,115.11/287,438.22
  6. Step 6: Final answer
    x = 150,676.33

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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.