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Finding the Fourth Proportional to 414,172.31, 620,347.82 and 342,280.15

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Solution

The fourth proportional to 414,172.31, 620,347.82 and 342,280.15 is: 512,667.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,172.31 : 620,347.82 = 342,280.15 : x
  2. Step 2: Convert to fraction form
    414,172.31/620,347.82 = 342,280.15/x
  3. Step 3: Cross multiply
    414,172.31x = 620,347.82 × 342,280.15
  4. Step 4: Simplify right side
    414,172.31x = 212,332,741,619.50
  5. Step 5: Solve for x
    x = 212,332,741,619.50/414,172.31
  6. Step 6: Final answer
    x = 512,667.65

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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.