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Finding the Fourth Proportional to 408,497.20, 612,372.24 and 171,856.56

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Solution

The fourth proportional to 408,497.20, 612,372.24 and 171,856.56 is: 257,627.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,497.20 : 612,372.24 = 171,856.56 : x
  2. Step 2: Convert to fraction form
    408,497.20/612,372.24 = 171,856.56/x
  3. Step 3: Cross multiply
    408,497.20x = 612,372.24 × 171,856.56
  4. Step 4: Simplify right side
    408,497.20x = 105,240,186,605.89
  5. Step 5: Solve for x
    x = 105,240,186,605.89/408,497.20
  6. Step 6: Final answer
    x = 257,627.68

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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.