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Finding the Fourth Proportional to 509,885.60, 764,804.10 and 172,893.20

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Solution

The fourth proportional to 509,885.60, 764,804.10 and 172,893.20 is: 259,331.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,885.60 : 764,804.10 = 172,893.20 : x
  2. Step 2: Convert to fraction form
    509,885.60/764,804.10 = 172,893.20/x
  3. Step 3: Cross multiply
    509,885.60x = 764,804.10 × 172,893.20
  4. Step 4: Simplify right side
    509,885.60x = 132,229,428,222.12
  5. Step 5: Solve for x
    x = 132,229,428,222.12/509,885.60
  6. Step 6: Final answer
    x = 259,331.56

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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.