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Finding the Fourth Proportional to 328,555.40, 492,849.30 and 171,091.40

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Solution

The fourth proportional to 328,555.40, 492,849.30 and 171,091.40 is: 256,645.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,555.40 : 492,849.30 = 171,091.40 : x
  2. Step 2: Convert to fraction form
    328,555.40/492,849.30 = 171,091.40/x
  3. Step 3: Cross multiply
    328,555.40x = 492,849.30 × 171,091.40
  4. Step 4: Simplify right side
    328,555.40x = 84,322,276,726.02
  5. Step 5: Solve for x
    x = 84,322,276,726.02/328,555.40
  6. Step 6: Final answer
    x = 256,645.54

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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.