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Finding the Fourth Proportional to 289,945.50, 400,125.51 and 169,169.82

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Solution

The fourth proportional to 289,945.50, 400,125.51 and 169,169.82 is: 233,454.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,945.50 : 400,125.51 = 169,169.82 : x
  2. Step 2: Convert to fraction form
    289,945.50/400,125.51 = 169,169.82/x
  3. Step 3: Cross multiply
    289,945.50x = 400,125.51 × 169,169.82
  4. Step 4: Simplify right side
    289,945.50x = 67,689,160,504.11
  5. Step 5: Solve for x
    x = 67,689,160,504.11/289,945.50
  6. Step 6: Final answer
    x = 233,454.77

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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.