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Finding the Fourth Proportional to 587,223.70, 810,355.21 and 342,192.85

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Solution

The fourth proportional to 587,223.70, 810,355.21 and 342,192.85 is: 472,218.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,223.70 : 810,355.21 = 342,192.85 : x
  2. Step 2: Convert to fraction form
    587,223.70/810,355.21 = 342,192.85/x
  3. Step 3: Cross multiply
    587,223.70x = 810,355.21 × 342,192.85
  4. Step 4: Simplify right side
    587,223.70x = 277,297,761,461.54
  5. Step 5: Solve for x
    x = 277,297,761,461.54/587,223.70
  6. Step 6: Final answer
    x = 472,218.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.