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Finding the Fourth Proportional to 445,889.80, 668,834.70 and 209,256.40

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Solution

The fourth proportional to 445,889.80, 668,834.70 and 209,256.40 is: 313,884.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,889.80 : 668,834.70 = 209,256.40 : x
  2. Step 2: Convert to fraction form
    445,889.80/668,834.70 = 209,256.40/x
  3. Step 3: Cross multiply
    445,889.80x = 668,834.70 × 209,256.40
  4. Step 4: Simplify right side
    445,889.80x = 139,957,941,517.08
  5. Step 5: Solve for x
    x = 139,957,941,517.08/445,889.80
  6. Step 6: Final answer
    x = 313,884.60

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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.