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Finding the Fourth Proportional to 519,917.40, 780,135.30 and 295,450.20

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Solution

The fourth proportional to 519,917.40, 780,135.30 and 295,450.20 is: 443,322.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,917.40 : 780,135.30 = 295,450.20 : x
  2. Step 2: Convert to fraction form
    519,917.40/780,135.30 = 295,450.20/x
  3. Step 3: Cross multiply
    519,917.40x = 780,135.30 × 295,450.20
  4. Step 4: Simplify right side
    519,917.40x = 230,491,130,412.06
  5. Step 5: Solve for x
    x = 230,491,130,412.06/519,917.40
  6. Step 6: Final answer
    x = 443,322.59

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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.