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Finding the Fourth Proportional to 513,450.50, 708,566.13 and 287,096.00

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Solution

The fourth proportional to 513,450.50, 708,566.13 and 287,096.00 is: 396,194.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,450.50 : 708,566.13 = 287,096.00 : x
  2. Step 2: Convert to fraction form
    513,450.50/708,566.13 = 287,096.00/x
  3. Step 3: Cross multiply
    513,450.50x = 708,566.13 × 287,096.00
  4. Step 4: Simplify right side
    513,450.50x = 203,426,498,115.65
  5. Step 5: Solve for x
    x = 203,426,498,115.65/513,450.50
  6. Step 6: Final answer
    x = 396,194.96

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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.