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Finding the Fourth Proportional to 513,730.88, 708,976.16 and 287,362.88

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Solution

The fourth proportional to 513,730.88, 708,976.16 and 287,362.88 is: 396,576.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,730.88 : 708,976.16 = 287,362.88 : x
  2. Step 2: Convert to fraction form
    513,730.88/708,976.16 = 287,362.88/x
  3. Step 3: Cross multiply
    513,730.88x = 708,976.16 × 287,362.88
  4. Step 4: Simplify right side
    513,730.88x = 203,733,431,188.94
  5. Step 5: Solve for x
    x = 203,733,431,188.94/513,730.88
  6. Step 6: Final answer
    x = 396,576.18

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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.