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Finding the Fourth Proportional to 408,051.40, 612,077.10 and 324,070.60

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Solution

The fourth proportional to 408,051.40, 612,077.10 and 324,070.60 is: 486,105.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,051.40 : 612,077.10 = 324,070.60 : x
  2. Step 2: Convert to fraction form
    408,051.40/612,077.10 = 324,070.60/x
  3. Step 3: Cross multiply
    408,051.40x = 612,077.10 × 324,070.60
  4. Step 4: Simplify right side
    408,051.40x = 198,356,193,043.26
  5. Step 5: Solve for x
    x = 198,356,193,043.26/408,051.40
  6. Step 6: Final answer
    x = 486,105.90

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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.