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Finding the Fourth Proportional to 519,170.50, 778,840 and 203,456.26

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Solution

The fourth proportional to 519,170.50, 778,840 and 203,456.26 is: 305,217.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,170.50 : 778,840 = 203,456.26 : x
  2. Step 2: Convert to fraction form
    519,170.50/778,840 = 203,456.26/x
  3. Step 3: Cross multiply
    519,170.50x = 778,840 × 203,456.26
  4. Step 4: Simplify right side
    519,170.50x = 158,459,873,538.40
  5. Step 5: Solve for x
    x = 158,459,873,538.40/519,170.50
  6. Step 6: Final answer
    x = 305,217.41

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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.