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Finding the Fourth Proportional to 376,963.20, 565,385.40 and 313,329.96

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Solution

The fourth proportional to 376,963.20, 565,385.40 and 313,329.96 is: 469,945.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,963.20 : 565,385.40 = 313,329.96 : x
  2. Step 2: Convert to fraction form
    376,963.20/565,385.40 = 313,329.96/x
  3. Step 3: Cross multiply
    376,963.20x = 565,385.40 × 313,329.96
  4. Step 4: Simplify right side
    376,963.20x = 177,152,184,766.58
  5. Step 5: Solve for x
    x = 177,152,184,766.58/376,963.20
  6. Step 6: Final answer
    x = 469,945.57

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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.