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Finding the Fourth Proportional to 509,311.20, 764,312.40 and 331,384.80

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Solution

The fourth proportional to 509,311.20, 764,312.40 and 331,384.80 is: 497,302.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,311.20 : 764,312.40 = 331,384.80 : x
  2. Step 2: Convert to fraction form
    509,311.20/764,312.40 = 331,384.80/x
  3. Step 3: Cross multiply
    509,311.20x = 764,312.40 × 331,384.80
  4. Step 4: Simplify right side
    509,311.20x = 253,281,511,811.52
  5. Step 5: Solve for x
    x = 253,281,511,811.52/509,311.20
  6. Step 6: Final answer
    x = 497,302.07

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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.