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Finding the Fourth Proportional to 509,969,342.40, 764,954,013.60 and 165,170,421.60

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Solution

The fourth proportional to 509,969,342.40, 764,954,013.60 and 165,170,421.60 is: 247,755,632.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,969,342.40 : 764,954,013.60 = 165,170,421.60 : x
  2. Step 2: Convert to fraction form
    509,969,342.40/764,954,013.60 = 165,170,421.60/x
  3. Step 3: Cross multiply
    509,969,342.40x = 764,954,013.60 × 165,170,421.60
  4. Step 4: Simplify right side
    509,969,342.40x = 126,347,776,930,924,128
  5. Step 5: Solve for x
    x = 126,347,776,930,924,128/509,969,342.40
  6. Step 6: Final answer
    x = 247,755,632.40

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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.