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Finding the Fourth Proportional to 323,920.13, 446,981.75 and 209,203.77

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Solution

The fourth proportional to 323,920.13, 446,981.75 and 209,203.77 is: 288,683.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,920.13 : 446,981.75 = 209,203.77 : x
  2. Step 2: Convert to fraction form
    323,920.13/446,981.75 = 209,203.77/x
  3. Step 3: Cross multiply
    323,920.13x = 446,981.75 × 209,203.77
  4. Step 4: Simplify right side
    323,920.13x = 93,510,269,420.39
  5. Step 5: Solve for x
    x = 93,510,269,420.39/323,920.13
  6. Step 6: Final answer
    x = 288,683.11

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1.5x scale

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.