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Finding the Fourth Proportional to 382,715.40, 573,813.90 and 202,830.60

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Solution

The fourth proportional to 382,715.40, 573,813.90 and 202,830.60 is: 304,108.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,715.40 : 573,813.90 = 202,830.60 : x
  2. Step 2: Convert to fraction form
    382,715.40/573,813.90 = 202,830.60/x
  3. Step 3: Cross multiply
    382,715.40x = 573,813.90 × 202,830.60
  4. Step 4: Simplify right side
    382,715.40x = 116,387,017,625.34
  5. Step 5: Solve for x
    x = 116,387,017,625.34/382,715.40
  6. Step 6: Final answer
    x = 304,108.53

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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.