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Finding the Fourth Proportional to 509,389.20, 764,429.40 and 331,462.80

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Solution

The fourth proportional to 509,389.20, 764,429.40 and 331,462.80 is: 497,419.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,389.20 : 764,429.40 = 331,462.80 : x
  2. Step 2: Convert to fraction form
    509,389.20/764,429.40 = 331,462.80/x
  3. Step 3: Cross multiply
    509,389.20x = 764,429.40 × 331,462.80
  4. Step 4: Simplify right side
    509,389.20x = 253,379,909,326.32
  5. Step 5: Solve for x
    x = 253,379,909,326.32/509,389.20
  6. Step 6: Final answer
    x = 497,419.08

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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.