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Finding the Fourth Proportional to 513,493.60, 708,640.52 and 287,138.56

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Solution

The fourth proportional to 513,493.60, 708,640.52 and 287,138.56 is: 396,262.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,493.60 : 708,640.52 = 287,138.56 : x
  2. Step 2: Convert to fraction form
    513,493.60/708,640.52 = 287,138.56/x
  3. Step 3: Cross multiply
    513,493.60x = 708,640.52 × 287,138.56
  4. Step 4: Simplify right side
    513,493.60x = 203,478,018,470.45
  5. Step 5: Solve for x
    x = 203,478,018,470.45/513,493.60
  6. Step 6: Final answer
    x = 396,262.03

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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.