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Finding the Fourth Proportional to 371,676.60, 512,914.32 and 201,910.86

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Solution

The fourth proportional to 371,676.60, 512,914.32 and 201,910.86 is: 278,637.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,676.60 : 512,914.32 = 201,910.86 : x
  2. Step 2: Convert to fraction form
    371,676.60/512,914.32 = 201,910.86/x
  3. Step 3: Cross multiply
    371,676.60x = 512,914.32 × 201,910.86
  4. Step 4: Simplify right side
    371,676.60x = 103,562,971,457.52
  5. Step 5: Solve for x
    x = 103,562,971,457.52/371,676.60
  6. Step 6: Final answer
    x = 278,637.32

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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.