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Finding the Fourth Proportional to 297,472.96, 446,209.92 and 209,121.28

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Solution

The fourth proportional to 297,472.96, 446,209.92 and 209,121.28 is: 313,682.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,472.96 : 446,209.92 = 209,121.28 : x
  2. Step 2: Convert to fraction form
    297,472.96/446,209.92 = 209,121.28/x
  3. Step 3: Cross multiply
    297,472.96x = 446,209.92 × 209,121.28
  4. Step 4: Simplify right side
    297,472.96x = 93,311,989,619.10
  5. Step 5: Solve for x
    x = 93,311,989,619.10/297,472.96
  6. Step 6: Final answer
    x = 313,682.26

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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.