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Finding the Fourth Proportional to 446,435, 669,082.92 and 209,255.12

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Solution

The fourth proportional to 446,435, 669,082.92 and 209,255.12 is: 313,615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,435 : 669,082.92 = 209,255.12 : x
  2. Step 2: Convert to fraction form
    446,435/669,082.92 = 209,255.12/x
  3. Step 3: Cross multiply
    446,435x = 669,082.92 × 209,255.12
  4. Step 4: Simplify right side
    446,435x = 140,009,026,714.55
  5. Step 5: Solve for x
    x = 140,009,026,714.55/446,435
  6. Step 6: Final answer
    x = 313,615.70

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1.5x scale

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.