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Finding the Fourth Proportional to 513,536.92, 708,667.74 and 284,102.84

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Solution

The fourth proportional to 513,536.92, 708,667.74 and 284,102.84 is: 392,054.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,536.92 : 708,667.74 = 284,102.84 : x
  2. Step 2: Convert to fraction form
    513,536.92/708,667.74 = 284,102.84/x
  3. Step 3: Cross multiply
    513,536.92x = 708,667.74 × 284,102.84
  4. Step 4: Simplify right side
    513,536.92x = 201,334,517,550.38
  5. Step 5: Solve for x
    x = 201,334,517,550.38/513,536.92
  6. Step 6: Final answer
    x = 392,054.61

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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.