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Finding the Fourth Proportional to 519,402.89, 779,454.26 and 203,822.57

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Solution

The fourth proportional to 519,402.89, 779,454.26 and 203,822.57 is: 305,871.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,402.89 : 779,454.26 = 203,822.57 : x
  2. Step 2: Convert to fraction form
    519,402.89/779,454.26 = 203,822.57/x
  3. Step 3: Cross multiply
    519,402.89x = 779,454.26 × 203,822.57
  4. Step 4: Simplify right side
    519,402.89x = 158,870,365,554.26
  5. Step 5: Solve for x
    x = 158,870,365,554.26/519,402.89
  6. Step 6: Final answer
    x = 305,871.17

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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.