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Finding the Fourth Proportional to 323,688.84, 486,336.30 and 209,909.04

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Solution

The fourth proportional to 323,688.84, 486,336.30 and 209,909.04 is: 315,384.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,688.84 : 486,336.30 = 209,909.04 : x
  2. Step 2: Convert to fraction form
    323,688.84/486,336.30 = 209,909.04/x
  3. Step 3: Cross multiply
    323,688.84x = 486,336.30 × 209,909.04
  4. Step 4: Simplify right side
    323,688.84x = 102,086,385,850.15
  5. Step 5: Solve for x
    x = 102,086,385,850.15/323,688.84
  6. Step 6: Final answer
    x = 315,384.32

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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.