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Finding the Fourth Proportional to 525,167.82, 787,751.73 and 419,491.98

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Solution

The fourth proportional to 525,167.82, 787,751.73 and 419,491.98 is: 629,237.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,167.82 : 787,751.73 = 419,491.98 : x
  2. Step 2: Convert to fraction form
    525,167.82/787,751.73 = 419,491.98/x
  3. Step 3: Cross multiply
    525,167.82x = 787,751.73 × 419,491.98
  4. Step 4: Simplify right side
    525,167.82x = 330,455,532,966.13
  5. Step 5: Solve for x
    x = 330,455,532,966.13/525,167.82
  6. Step 6: Final answer
    x = 629,237.97

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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.