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Finding the Fourth Proportional to 289,565.29, 399,464.95 and 182,194.53

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Solution

The fourth proportional to 289,565.29, 399,464.95 and 182,194.53 is: 251,343.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,565.29 : 399,464.95 = 182,194.53 : x
  2. Step 2: Convert to fraction form
    289,565.29/399,464.95 = 182,194.53/x
  3. Step 3: Cross multiply
    289,565.29x = 399,464.95 × 182,194.53
  4. Step 4: Simplify right side
    289,565.29x = 72,780,327,382.28
  5. Step 5: Solve for x
    x = 72,780,327,382.28/289,565.29
  6. Step 6: Final answer
    x = 251,343.41

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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.