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Finding the Fourth Proportional to 509,898.60, 764,823.60 and 172,906.20

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Solution

The fourth proportional to 509,898.60, 764,823.60 and 172,906.20 is: 259,351.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,898.60 : 764,823.60 = 172,906.20 : x
  2. Step 2: Convert to fraction form
    509,898.60/764,823.60 = 172,906.20/x
  3. Step 3: Cross multiply
    509,898.60x = 764,823.60 × 172,906.20
  4. Step 4: Simplify right side
    509,898.60x = 132,242,742,346.32
  5. Step 5: Solve for x
    x = 132,242,742,346.32/509,898.60
  6. Step 6: Final answer
    x = 259,351.06

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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.