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Finding the Fourth Proportional to 323,941.92, 447,011.88 and 209,225.64

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Solution

The fourth proportional to 323,941.92, 447,011.88 and 209,225.64 is: 288,713.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,941.92 : 447,011.88 = 209,225.64 : x
  2. Step 2: Convert to fraction form
    323,941.92/447,011.88 = 209,225.64/x
  3. Step 3: Cross multiply
    323,941.92x = 447,011.88 × 209,225.64
  4. Step 4: Simplify right side
    323,941.92x = 93,526,346,680.60
  5. Step 5: Solve for x
    x = 93,526,346,680.60/323,941.92
  6. Step 6: Final answer
    x = 288,713.32

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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.