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Finding the Fourth Proportional to 289,516.86, 399,541.14 and 162,189.72

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Solution

The fourth proportional to 289,516.86, 399,541.14 and 162,189.72 is: 223,826.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,516.86 : 399,541.14 = 162,189.72 : x
  2. Step 2: Convert to fraction form
    289,516.86/399,541.14 = 162,189.72/x
  3. Step 3: Cross multiply
    289,516.86x = 399,541.14 × 162,189.72
  4. Step 4: Simplify right side
    289,516.86x = 64,801,465,625.08
  5. Step 5: Solve for x
    x = 64,801,465,625.08/289,516.86
  6. Step 6: Final answer
    x = 223,826.22

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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.