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Finding the Fourth Proportional to 407,819.40, 611,729.10 and 323,838.60

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Solution

The fourth proportional to 407,819.40, 611,729.10 and 323,838.60 is: 485,757.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,819.40 : 611,729.10 = 323,838.60 : x
  2. Step 2: Convert to fraction form
    407,819.40/611,729.10 = 323,838.60/x
  3. Step 3: Cross multiply
    407,819.40x = 611,729.10 × 323,838.60
  4. Step 4: Simplify right side
    407,819.40x = 198,101,495,323.26
  5. Step 5: Solve for x
    x = 198,101,495,323.26/407,819.40
  6. Step 6: Final answer
    x = 485,757.90

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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.