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Finding the Fourth Proportional to 243,286.86, 335,893.84 and 217,749

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Solution

The fourth proportional to 243,286.86, 335,893.84 and 217,749 is: 300,635.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,286.86 : 335,893.84 = 217,749 : x
  2. Step 2: Convert to fraction form
    243,286.86/335,893.84 = 217,749/x
  3. Step 3: Cross multiply
    243,286.86x = 335,893.84 × 217,749
  4. Step 4: Simplify right side
    243,286.86x = 73,140,547,766.16
  5. Step 5: Solve for x
    x = 73,140,547,766.16/243,286.86
  6. Step 6: Final answer
    x = 300,635.01

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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.