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Finding the Fourth Proportional to 438,305.99, 656,961.13 and 185,428.64

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Solution

The fourth proportional to 438,305.99, 656,961.13 and 185,428.64 is: 277,932.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,305.99 : 656,961.13 = 185,428.64 : x
  2. Step 2: Convert to fraction form
    438,305.99/656,961.13 = 185,428.64/x
  3. Step 3: Cross multiply
    438,305.99x = 656,961.13 × 185,428.64
  4. Step 4: Simplify right side
    438,305.99x = 121,819,410,742.95
  5. Step 5: Solve for x
    x = 121,819,410,742.95/438,305.99
  6. Step 6: Final answer
    x = 277,932.35

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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.