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Finding the Fourth Proportional to 684,580.72, 1,027,375.61 and 324,752.70

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Solution

The fourth proportional to 684,580.72, 1,027,375.61 and 324,752.70 is: 487,368.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,580.72 : 1,027,375.61 = 324,752.70 : x
  2. Step 2: Convert to fraction form
    684,580.72/1,027,375.61 = 324,752.70/x
  3. Step 3: Cross multiply
    684,580.72x = 1,027,375.61 × 324,752.70
  4. Step 4: Simplify right side
    684,580.72x = 333,643,003,261.65
  5. Step 5: Solve for x
    x = 333,643,003,261.65/684,580.72
  6. Step 6: Final answer
    x = 487,368.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.