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Finding the Fourth Proportional to 215,161.16, 322,492.29 and 190,249.86

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Solution

The fourth proportional to 215,161.16, 322,492.29 and 190,249.86 is: 285,154.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,161.16 : 322,492.29 = 190,249.86 : x
  2. Step 2: Convert to fraction form
    215,161.16/322,492.29 = 190,249.86/x
  3. Step 3: Cross multiply
    215,161.16x = 322,492.29 × 190,249.86
  4. Step 4: Simplify right side
    215,161.16x = 61,354,113,519.49
  5. Step 5: Solve for x
    x = 61,354,113,519.49/215,161.16
  6. Step 6: Final answer
    x = 285,154.22

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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.