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Finding the Fourth Proportional to 550,790.35, 826,420.59 and 311,084.21

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Solution

The fourth proportional to 550,790.35, 826,420.59 and 311,084.21 is: 466,759.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,790.35 : 826,420.59 = 311,084.21 : x
  2. Step 2: Convert to fraction form
    550,790.35/826,420.59 = 311,084.21/x
  3. Step 3: Cross multiply
    550,790.35x = 826,420.59 × 311,084.21
  4. Step 4: Simplify right side
    550,790.35x = 257,086,398,433.94
  5. Step 5: Solve for x
    x = 257,086,398,433.94/550,790.35
  6. Step 6: Final answer
    x = 466,759.08

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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.