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Finding the Fourth Proportional to 561,830.80, 775,136.57 and 319,941.85

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Solution

The fourth proportional to 561,830.80, 775,136.57 and 319,941.85 is: 441,411.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,830.80 : 775,136.57 = 319,941.85 : x
  2. Step 2: Convert to fraction form
    561,830.80/775,136.57 = 319,941.85/x
  3. Step 3: Cross multiply
    561,830.80x = 775,136.57 × 319,941.85
  4. Step 4: Simplify right side
    561,830.80x = 247,998,622,733.06
  5. Step 5: Solve for x
    x = 247,998,622,733.06/561,830.80
  6. Step 6: Final answer
    x = 441,411.59

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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.