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Finding the Fourth Proportional to 408,632.04, 612,945.82 and 105,025.96

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Solution

The fourth proportional to 408,632.04, 612,945.82 and 105,025.96 is: 157,538.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,632.04 : 612,945.82 = 105,025.96 : x
  2. Step 2: Convert to fraction form
    408,632.04/612,945.82 = 105,025.96/x
  3. Step 3: Cross multiply
    408,632.04x = 612,945.82 × 105,025.96
  4. Step 4: Simplify right side
    408,632.04x = 64,375,223,173.49
  5. Step 5: Solve for x
    x = 64,375,223,173.49/408,632.04
  6. Step 6: Final answer
    x = 157,538.36

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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.