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Finding the Fourth Proportional to 513,674.25, 708,873.03 and 287,319.75

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Solution

The fourth proportional to 513,674.25, 708,873.03 and 287,319.75 is: 396,502.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,674.25 : 708,873.03 = 287,319.75 : x
  2. Step 2: Convert to fraction form
    513,674.25/708,873.03 = 287,319.75/x
  3. Step 3: Cross multiply
    513,674.25x = 708,873.03 × 287,319.75
  4. Step 4: Simplify right side
    513,674.25x = 203,673,221,761.34
  5. Step 5: Solve for x
    x = 203,673,221,761.34/513,674.25
  6. Step 6: Final answer
    x = 396,502.69

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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.