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Finding the Fourth Proportional to 328,578.24, 492,670.80 and 159,766.32

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Solution

The fourth proportional to 328,578.24, 492,670.80 and 159,766.32 is: 239,553.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,578.24 : 492,670.80 = 159,766.32 : x
  2. Step 2: Convert to fraction form
    328,578.24/492,670.80 = 159,766.32/x
  3. Step 3: Cross multiply
    328,578.24x = 492,670.80 × 159,766.32
  4. Step 4: Simplify right side
    328,578.24x = 78,712,200,687.46
  5. Step 5: Solve for x
    x = 78,712,200,687.46/328,578.24
  6. Step 6: Final answer
    x = 239,553.91

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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.