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Finding the Fourth Proportional to 328,219.29, 492,411.96 and 91,561.86

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Solution

The fourth proportional to 328,219.29, 492,411.96 and 91,561.86 is: 137,365.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,219.29 : 492,411.96 = 91,561.86 : x
  2. Step 2: Convert to fraction form
    328,219.29/492,411.96 = 91,561.86/x
  3. Step 3: Cross multiply
    328,219.29x = 492,411.96 × 91,561.86
  4. Step 4: Simplify right side
    328,219.29x = 45,086,154,943.85
  5. Step 5: Solve for x
    x = 45,086,154,943.85/328,219.29
  6. Step 6: Final answer
    x = 137,365.95

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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.