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Finding the Fourth Proportional to 509,969.40, 764,954.10 and 342,007.80

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Solution

The fourth proportional to 509,969.40, 764,954.10 and 342,007.80 is: 513,011.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,969.40 : 764,954.10 = 342,007.80 : x
  2. Step 2: Convert to fraction form
    509,969.40/764,954.10 = 342,007.80/x
  3. Step 3: Cross multiply
    509,969.40x = 764,954.10 × 342,007.80
  4. Step 4: Simplify right side
    509,969.40x = 261,620,268,841.98
  5. Step 5: Solve for x
    x = 261,620,268,841.98/509,969.40
  6. Step 6: Final answer
    x = 513,011.70

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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.