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Finding the Fourth Proportional to 431,872.64, 647,808.96 and 221,376.32

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Solution

The fourth proportional to 431,872.64, 647,808.96 and 221,376.32 is: 332,064.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,872.64 : 647,808.96 = 221,376.32 : x
  2. Step 2: Convert to fraction form
    431,872.64/647,808.96 = 221,376.32/x
  3. Step 3: Cross multiply
    431,872.64x = 647,808.96 × 221,376.32
  4. Step 4: Simplify right side
    431,872.64x = 143,409,563,627.83
  5. Step 5: Solve for x
    x = 143,409,563,627.83/431,872.64
  6. Step 6: Final answer
    x = 332,064.48

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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.