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Finding the Fourth Proportional to 381,815.64, 526,473.78 and 243,813.12

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Solution

The fourth proportional to 381,815.64, 526,473.78 and 243,813.12 is: 336,186.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,815.64 : 526,473.78 = 243,813.12 : x
  2. Step 2: Convert to fraction form
    381,815.64/526,473.78 = 243,813.12/x
  3. Step 3: Cross multiply
    381,815.64x = 526,473.78 × 243,813.12
  4. Step 4: Simplify right side
    381,815.64x = 128,361,214,899.99
  5. Step 5: Solve for x
    x = 128,361,214,899.99/381,815.64
  6. Step 6: Final answer
    x = 336,186.37

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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.