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Finding the Fourth Proportional to 381,313.86, 526,212.92 and 209,232.94

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Solution

The fourth proportional to 381,313.86, 526,212.92 and 209,232.94 is: 288,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,313.86 : 526,212.92 = 209,232.94 : x
  2. Step 2: Convert to fraction form
    381,313.86/526,212.92 = 209,232.94/x
  3. Step 3: Cross multiply
    381,313.86x = 526,212.92 × 209,232.94
  4. Step 4: Simplify right side
    381,313.86x = 110,101,076,317.59
  5. Step 5: Solve for x
    x = 110,101,076,317.59/381,313.86
  6. Step 6: Final answer
    x = 288,741.34

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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.