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Finding the Fourth Proportional to 513,162, 708,141.29 and 280,584.68

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Solution

The fourth proportional to 513,162, 708,141.29 and 280,584.68 is: 387,194.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,162 : 708,141.29 = 280,584.68 : x
  2. Step 2: Convert to fraction form
    513,162/708,141.29 = 280,584.68/x
  3. Step 3: Cross multiply
    513,162x = 708,141.29 × 280,584.68
  4. Step 4: Simplify right side
    513,162x = 198,693,592,305.81
  5. Step 5: Solve for x
    x = 198,693,592,305.81/513,162
  6. Step 6: Final answer
    x = 387,194.67

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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.