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Finding the Fourth Proportional to 513,286.16, 708,339.42 and 283,858.85

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Solution

The fourth proportional to 513,286.16, 708,339.42 and 283,858.85 is: 391,727.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,286.16 : 708,339.42 = 283,858.85 : x
  2. Step 2: Convert to fraction form
    513,286.16/708,339.42 = 283,858.85/x
  3. Step 3: Cross multiply
    513,286.16x = 708,339.42 × 283,858.85
  4. Step 4: Simplify right side
    513,286.16x = 201,068,409,629.17
  5. Step 5: Solve for x
    x = 201,068,409,629.17/513,286.16
  6. Step 6: Final answer
    x = 391,727.71

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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.