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Finding the Fourth Proportional to 430,657, 645,991.26 and 135,169

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Solution

The fourth proportional to 430,657, 645,991.26 and 135,169 is: 202,755.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,657 : 645,991.26 = 135,169 : x
  2. Step 2: Convert to fraction form
    430,657/645,991.26 = 135,169/x
  3. Step 3: Cross multiply
    430,657x = 645,991.26 × 135,169
  4. Step 4: Simplify right side
    430,657x = 87,317,992,622.94
  5. Step 5: Solve for x
    x = 87,317,992,622.94/430,657
  6. Step 6: Final answer
    x = 202,755.31

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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.