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Finding the Fourth Proportional to 551,093.80, 826,640.70 and 411,125.80

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Solution

The fourth proportional to 551,093.80, 826,640.70 and 411,125.80 is: 616,688.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,093.80 : 826,640.70 = 411,125.80 : x
  2. Step 2: Convert to fraction form
    551,093.80/826,640.70 = 411,125.80/x
  3. Step 3: Cross multiply
    551,093.80x = 826,640.70 × 411,125.80
  4. Step 4: Simplify right side
    551,093.80x = 339,853,319,100.06
  5. Step 5: Solve for x
    x = 339,853,319,100.06/551,093.80
  6. Step 6: Final answer
    x = 616,688.70

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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.