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Finding the Fourth Proportional to 505,898.70, 698,211.41 and 322,078.56

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Solution

The fourth proportional to 505,898.70, 698,211.41 and 322,078.56 is: 444,513.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,898.70 : 698,211.41 = 322,078.56 : x
  2. Step 2: Convert to fraction form
    505,898.70/698,211.41 = 322,078.56/x
  3. Step 3: Cross multiply
    505,898.70x = 698,211.41 × 322,078.56
  4. Step 4: Simplify right side
    505,898.70x = 224,878,925,508.37
  5. Step 5: Solve for x
    x = 224,878,925,508.37/505,898.70
  6. Step 6: Final answer
    x = 444,513.74

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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.