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Finding the Fourth Proportional to 455,109.38, 682,278.48 and 188,703.62

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Solution

The fourth proportional to 455,109.38, 682,278.48 and 188,703.62 is: 282,895.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,109.38 : 682,278.48 = 188,703.62 : x
  2. Step 2: Convert to fraction form
    455,109.38/682,278.48 = 188,703.62/x
  3. Step 3: Cross multiply
    455,109.38x = 682,278.48 × 188,703.62
  4. Step 4: Simplify right side
    455,109.38x = 128,748,419,024.10
  5. Step 5: Solve for x
    x = 128,748,419,024.10/455,109.38
  6. Step 6: Final answer
    x = 282,895.55

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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.