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Finding the Fourth Proportional to 408,536.10, 612,585.45 and 171,611.10

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Solution

The fourth proportional to 408,536.10, 612,585.45 and 171,611.10 is: 257,324.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,536.10 : 612,585.45 = 171,611.10 : x
  2. Step 2: Convert to fraction form
    408,536.10/612,585.45 = 171,611.10/x
  3. Step 3: Cross multiply
    408,536.10x = 612,585.45 × 171,611.10
  4. Step 4: Simplify right side
    408,536.10x = 105,126,462,918.50
  5. Step 5: Solve for x
    x = 105,126,462,918.50/408,536.10
  6. Step 6: Final answer
    x = 257,324.78

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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.