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Finding the Fourth Proportional to 408,421.31, 612,661.22 and 108,900.32

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Solution

The fourth proportional to 408,421.31, 612,661.22 and 108,900.32 is: 163,358.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,421.31 : 612,661.22 = 108,900.32 : x
  2. Step 2: Convert to fraction form
    408,421.31/612,661.22 = 108,900.32/x
  3. Step 3: Cross multiply
    408,421.31x = 612,661.22 × 108,900.32
  4. Step 4: Simplify right side
    408,421.31x = 66,718,999,846.28
  5. Step 5: Solve for x
    x = 66,718,999,846.28/408,421.31
  6. Step 6: Final answer
    x = 163,358.27

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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.