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Finding the Fourth Proportional to 612,015, 844,659.90 and 343,743

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Solution

The fourth proportional to 612,015, 844,659.90 and 343,743 is: 474,409.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,015 : 844,659.90 = 343,743 : x
  2. Step 2: Convert to fraction form
    612,015/844,659.90 = 343,743/x
  3. Step 3: Cross multiply
    612,015x = 844,659.90 × 343,743
  4. Step 4: Simplify right side
    612,015x = 290,345,928,005.70
  5. Step 5: Solve for x
    x = 290,345,928,005.70/612,015
  6. Step 6: Final answer
    x = 474,409.82

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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.