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Finding the Fourth Proportional to 446,644.16, 669,974.88 and 209,856.32

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Solution

The fourth proportional to 446,644.16, 669,974.88 and 209,856.32 is: 314,788.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,644.16 : 669,974.88 = 209,856.32 : x
  2. Step 2: Convert to fraction form
    446,644.16/669,974.88 = 209,856.32/x
  3. Step 3: Cross multiply
    446,644.16x = 669,974.88 × 209,856.32
  4. Step 4: Simplify right side
    446,644.16x = 140,598,462,809.24
  5. Step 5: Solve for x
    x = 140,598,462,809.24/446,644.16
  6. Step 6: Final answer
    x = 314,788.54

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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.