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Finding the Fourth Proportional to 289,454.86, 399,436.14 and 162,123.94

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Solution

The fourth proportional to 289,454.86, 399,436.14 and 162,123.94 is: 223,724.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,454.86 : 399,436.14 = 162,123.94 : x
  2. Step 2: Convert to fraction form
    289,454.86/399,436.14 = 162,123.94/x
  3. Step 3: Cross multiply
    289,454.86x = 399,436.14 × 162,123.94
  4. Step 4: Simplify right side
    289,454.86x = 64,758,160,795.19
  5. Step 5: Solve for x
    x = 64,758,160,795.19/289,454.86
  6. Step 6: Final answer
    x = 223,724.56

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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.