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Finding the Fourth Proportional to 513,648, 708,837 and 287,293.44

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Solution

The fourth proportional to 513,648, 708,837 and 287,293.44 is: 396,466.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,648 : 708,837 = 287,293.44 : x
  2. Step 2: Convert to fraction form
    513,648/708,837 = 287,293.44/x
  3. Step 3: Cross multiply
    513,648x = 708,837 × 287,293.44
  4. Step 4: Simplify right side
    513,648x = 203,644,220,129.28
  5. Step 5: Solve for x
    x = 203,644,220,129.28/513,648
  6. Step 6: Final answer
    x = 396,466.49

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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.