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Finding the Fourth Proportional to 509,942.60, 764,257.80 and 310,050.80

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Solution

The fourth proportional to 509,942.60, 764,257.80 and 310,050.80 is: 464,677.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,942.60 : 764,257.80 = 310,050.80 : x
  2. Step 2: Convert to fraction form
    509,942.60/764,257.80 = 310,050.80/x
  3. Step 3: Cross multiply
    509,942.60x = 764,257.80 × 310,050.80
  4. Step 4: Simplify right side
    509,942.60x = 236,958,742,296.24
  5. Step 5: Solve for x
    x = 236,958,742,296.24/509,942.60
  6. Step 6: Final answer
    x = 464,677.28

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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.