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Finding the Fourth Proportional to 408,210.12, 612,402.48 and 171,430.92

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Solution

The fourth proportional to 408,210.12, 612,402.48 and 171,430.92 is: 257,183.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,210.12 : 612,402.48 = 171,430.92 : x
  2. Step 2: Convert to fraction form
    408,210.12/612,402.48 = 171,430.92/x
  3. Step 3: Cross multiply
    408,210.12x = 612,402.48 × 171,430.92
  4. Step 4: Simplify right side
    408,210.12x = 104,984,720,556.68
  5. Step 5: Solve for x
    x = 104,984,720,556.68/408,210.12
  6. Step 6: Final answer
    x = 257,183.04

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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.