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Finding the Fourth Proportional to 289,489.76, 399,493.68 and 162,166.40

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Solution

The fourth proportional to 289,489.76, 399,493.68 and 162,166.40 is: 223,788.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,489.76 : 399,493.68 = 162,166.40 : x
  2. Step 2: Convert to fraction form
    289,489.76/399,493.68 = 162,166.40/x
  3. Step 3: Cross multiply
    289,489.76x = 399,493.68 × 162,166.40
  4. Step 4: Simplify right side
    289,489.76x = 64,784,451,908.35
  5. Step 5: Solve for x
    x = 64,784,451,908.35/289,489.76
  6. Step 6: Final answer
    x = 223,788.41

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1.5x scale

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.