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Finding the Fourth Proportional to 509,246.40, 764,685.60 and 404,932.80

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Solution

The fourth proportional to 509,246.40, 764,685.60 and 404,932.80 is: 608,048.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,246.40 : 764,685.60 = 404,932.80 : x
  2. Step 2: Convert to fraction form
    509,246.40/764,685.60 = 404,932.80/x
  3. Step 3: Cross multiply
    509,246.40x = 764,685.60 × 404,932.80
  4. Step 4: Simplify right side
    509,246.40x = 309,646,281,127.68
  5. Step 5: Solve for x
    x = 309,646,281,127.68/509,246.40
  6. Step 6: Final answer
    x = 608,048.05

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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.