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Finding the Fourth Proportional to 289,668.87, 399,721.05 and 162,319.86

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Solution

The fourth proportional to 289,668.87, 399,721.05 and 162,319.86 is: 223,989.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,668.87 : 399,721.05 = 162,319.86 : x
  2. Step 2: Convert to fraction form
    289,668.87/399,721.05 = 162,319.86/x
  3. Step 3: Cross multiply
    289,668.87x = 399,721.05 × 162,319.86
  4. Step 4: Simplify right side
    289,668.87x = 64,882,664,875.05
  5. Step 5: Solve for x
    x = 64,882,664,875.05/289,668.87
  6. Step 6: Final answer
    x = 223,989.08

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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.