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Finding the Fourth Proportional to 512,471.76, 707,181.32 and 286,131.60

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Solution

The fourth proportional to 512,471.76, 707,181.32 and 286,131.60 is: 394,845.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,471.76 : 707,181.32 = 286,131.60 : x
  2. Step 2: Convert to fraction form
    512,471.76/707,181.32 = 286,131.60/x
  3. Step 3: Cross multiply
    512,471.76x = 707,181.32 × 286,131.60
  4. Step 4: Simplify right side
    512,471.76x = 202,346,922,581.71
  5. Step 5: Solve for x
    x = 202,346,922,581.71/512,471.76
  6. Step 6: Final answer
    x = 394,845.02

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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.