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Finding the Fourth Proportional to 561,830.57, 775,136.27 and 319,941.62

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Solution

The fourth proportional to 561,830.57, 775,136.27 and 319,941.62 is: 441,411.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,830.57 : 775,136.27 = 319,941.62 : x
  2. Step 2: Convert to fraction form
    561,830.57/775,136.27 = 319,941.62/x
  3. Step 3: Cross multiply
    561,830.57x = 775,136.27 × 319,941.62
  4. Step 4: Simplify right side
    561,830.57x = 247,998,348,469.17
  5. Step 5: Solve for x
    x = 247,998,348,469.17/561,830.57
  6. Step 6: Final answer
    x = 441,411.28

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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.