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Finding the Fourth Proportional to 680,203.77, 1,020,699.93 and 343,270.77

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Solution

The fourth proportional to 680,203.77, 1,020,699.93 and 343,270.77 is: 515,105.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,203.77 : 1,020,699.93 = 343,270.77 : x
  2. Step 2: Convert to fraction form
    680,203.77/1,020,699.93 = 343,270.77/x
  3. Step 3: Cross multiply
    680,203.77x = 1,020,699.93 × 343,270.77
  4. Step 4: Simplify right side
    680,203.77x = 350,376,450,910.05
  5. Step 5: Solve for x
    x = 350,376,450,910.05/680,203.77
  6. Step 6: Final answer
    x = 515,105.13

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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.