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Finding the Fourth Proportional to 465,122.60, 641,861 and 261,175.14

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Solution

The fourth proportional to 465,122.60, 641,861 and 261,175.14 is: 360,417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,122.60 : 641,861 = 261,175.14 : x
  2. Step 2: Convert to fraction form
    465,122.60/641,861 = 261,175.14/x
  3. Step 3: Cross multiply
    465,122.60x = 641,861 × 261,175.14
  4. Step 4: Simplify right side
    465,122.60x = 167,638,136,535.54
  5. Step 5: Solve for x
    x = 167,638,136,535.54/465,122.60
  6. Step 6: Final answer
    x = 360,417.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.