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Finding the Fourth Proportional to 278,644.36, 384,507.90 and 163,927.56

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Solution

The fourth proportional to 278,644.36, 384,507.90 and 163,927.56 is: 226,207.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,644.36 : 384,507.90 = 163,927.56 : x
  2. Step 2: Convert to fraction form
    278,644.36/384,507.90 = 163,927.56/x
  3. Step 3: Cross multiply
    278,644.36x = 384,507.90 × 163,927.56
  4. Step 4: Simplify right side
    278,644.36x = 63,031,441,847.72
  5. Step 5: Solve for x
    x = 63,031,441,847.72/278,644.36
  6. Step 6: Final answer
    x = 226,207.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.