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Finding the Fourth Proportional to 407,092.81, 610,640.78 and 170,269.36

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Solution

The fourth proportional to 407,092.81, 610,640.78 and 170,269.36 is: 255,404.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,092.81 : 610,640.78 = 170,269.36 : x
  2. Step 2: Convert to fraction form
    407,092.81/610,640.78 = 170,269.36/x
  3. Step 3: Cross multiply
    407,092.81x = 610,640.78 × 170,269.36
  4. Step 4: Simplify right side
    407,092.81x = 103,973,414,800.50
  5. Step 5: Solve for x
    x = 103,973,414,800.50/407,092.81
  6. Step 6: Final answer
    x = 255,404.69

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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.