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Finding the Fourth Proportional to 505,141.25, 757,854 and 220,856.76

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Solution

The fourth proportional to 505,141.25, 757,854 and 220,856.76 is: 331,347.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,141.25 : 757,854 = 220,856.76 : x
  2. Step 2: Convert to fraction form
    505,141.25/757,854 = 220,856.76/x
  3. Step 3: Cross multiply
    505,141.25x = 757,854 × 220,856.76
  4. Step 4: Simplify right side
    505,141.25x = 167,377,178,993.04
  5. Step 5: Solve for x
    x = 167,377,178,993.04/505,141.25
  6. Step 6: Final answer
    x = 331,347.28

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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.