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Finding the Fourth Proportional to 402,830.70, 603,517.05 and 192,003.90

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Solution

The fourth proportional to 402,830.70, 603,517.05 and 192,003.90 is: 287,658.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,830.70 : 603,517.05 = 192,003.90 : x
  2. Step 2: Convert to fraction form
    402,830.70/603,517.05 = 192,003.90/x
  3. Step 3: Cross multiply
    402,830.70x = 603,517.05 × 192,003.90
  4. Step 4: Simplify right side
    402,830.70x = 115,877,627,316.50
  5. Step 5: Solve for x
    x = 115,877,627,316.50/402,830.70
  6. Step 6: Final answer
    x = 287,658.38

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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.