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Finding the Fourth Proportional to 513,272.84, 708,321.11 and 283,845.56

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Solution

The fourth proportional to 513,272.84, 708,321.11 and 283,845.56 is: 391,709.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,272.84 : 708,321.11 = 283,845.56 : x
  2. Step 2: Convert to fraction form
    513,272.84/708,321.11 = 283,845.56/x
  3. Step 3: Cross multiply
    513,272.84x = 708,321.11 × 283,845.56
  4. Step 4: Simplify right side
    513,272.84x = 201,053,804,608.19
  5. Step 5: Solve for x
    x = 201,053,804,608.19/513,272.84
  6. Step 6: Final answer
    x = 391,709.41

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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.