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Finding the Fourth Proportional to 550,695.74, 825,669.79 and 280,158.98

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Solution

The fourth proportional to 550,695.74, 825,669.79 and 280,158.98 is: 420,048.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,695.74 : 825,669.79 = 280,158.98 : x
  2. Step 2: Convert to fraction form
    550,695.74/825,669.79 = 280,158.98/x
  3. Step 3: Cross multiply
    550,695.74x = 825,669.79 × 280,158.98
  4. Step 4: Simplify right side
    550,695.74x = 231,318,801,354.47
  5. Step 5: Solve for x
    x = 231,318,801,354.47/550,695.74
  6. Step 6: Final answer
    x = 420,048.29

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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.