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Finding the Fourth Proportional to 274,518.10, 411,431.55 and 243,414.10

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Solution

The fourth proportional to 274,518.10, 411,431.55 and 243,414.10 is: 364,814.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,518.10 : 411,431.55 = 243,414.10 : x
  2. Step 2: Convert to fraction form
    274,518.10/411,431.55 = 243,414.10/x
  3. Step 3: Cross multiply
    274,518.10x = 411,431.55 × 243,414.10
  4. Step 4: Simplify right side
    274,518.10x = 100,148,240,454.86
  5. Step 5: Solve for x
    x = 100,148,240,454.86/274,518.10
  6. Step 6: Final answer
    x = 364,814.71

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1.5x scale

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.