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Finding the Fourth Proportional to 550,890.30, 825,687.45 and 314,456.70

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Solution

The fourth proportional to 550,890.30, 825,687.45 and 314,456.70 is: 471,315.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,890.30 : 825,687.45 = 314,456.70 : x
  2. Step 2: Convert to fraction form
    550,890.30/825,687.45 = 314,456.70/x
  3. Step 3: Cross multiply
    550,890.30x = 825,687.45 × 314,456.70
  4. Step 4: Simplify right side
    550,890.30x = 259,642,950,758.42
  5. Step 5: Solve for x
    x = 259,642,950,758.42/550,890.30
  6. Step 6: Final answer
    x = 471,315.16

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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.