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Finding the Fourth Proportional to 519,896.40, 780,103.80 and 295,429.20

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Solution

The fourth proportional to 519,896.40, 780,103.80 and 295,429.20 is: 443,291.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,896.40 : 780,103.80 = 295,429.20 : x
  2. Step 2: Convert to fraction form
    519,896.40/780,103.80 = 295,429.20/x
  3. Step 3: Cross multiply
    519,896.40x = 780,103.80 × 295,429.20
  4. Step 4: Simplify right side
    519,896.40x = 230,465,441,550.96
  5. Step 5: Solve for x
    x = 230,465,441,550.96/519,896.40
  6. Step 6: Final answer
    x = 443,291.09

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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.