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Finding the Fourth Proportional to 289,900.13, 400,105.91 and 176,788.49

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Solution

The fourth proportional to 289,900.13, 400,105.91 and 176,788.49 is: 243,994.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,900.13 : 400,105.91 = 176,788.49 : x
  2. Step 2: Convert to fraction form
    289,900.13/400,105.91 = 176,788.49/x
  3. Step 3: Cross multiply
    289,900.13x = 400,105.91 × 176,788.49
  4. Step 4: Simplify right side
    289,900.13x = 70,734,118,110.42
  5. Step 5: Solve for x
    x = 70,734,118,110.42/289,900.13
  6. Step 6: Final answer
    x = 243,994.78

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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.