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Finding the Fourth Proportional to 509,700.60, 764,526.60 and 172,708.20

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Solution

The fourth proportional to 509,700.60, 764,526.60 and 172,708.20 is: 259,054.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,700.60 : 764,526.60 = 172,708.20 : x
  2. Step 2: Convert to fraction form
    509,700.60/764,526.60 = 172,708.20/x
  3. Step 3: Cross multiply
    509,700.60x = 764,526.60 × 172,708.20
  4. Step 4: Simplify right side
    509,700.60x = 132,040,012,938.12
  5. Step 5: Solve for x
    x = 132,040,012,938.12/509,700.60
  6. Step 6: Final answer
    x = 259,054.07

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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.