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Finding the Fourth Proportional to 278,771.90, 384,662.13 and 164,108.30

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Solution

The fourth proportional to 278,771.90, 384,662.13 and 164,108.30 is: 226,444.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,771.90 : 384,662.13 = 164,108.30 : x
  2. Step 2: Convert to fraction form
    278,771.90/384,662.13 = 164,108.30/x
  3. Step 3: Cross multiply
    278,771.90x = 384,662.13 × 164,108.30
  4. Step 4: Simplify right side
    278,771.90x = 63,126,248,228.68
  5. Step 5: Solve for x
    x = 63,126,248,228.68/278,771.90
  6. Step 6: Final answer
    x = 226,444.09

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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.