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Finding the Fourth Proportional to 513,698.28, 769,502.94 and 419,265

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Solution

The fourth proportional to 513,698.28, 769,502.94 and 419,265 is: 628,045.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,698.28 : 769,502.94 = 419,265 : x
  2. Step 2: Convert to fraction form
    513,698.28/769,502.94 = 419,265/x
  3. Step 3: Cross multiply
    513,698.28x = 769,502.94 × 419,265
  4. Step 4: Simplify right side
    513,698.28x = 322,625,650,139.10
  5. Step 5: Solve for x
    x = 322,625,650,139.10/513,698.28
  6. Step 6: Final answer
    x = 628,045.03

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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.