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Finding the Fourth Proportional to 605,125.05, 907,786.08 and 178,704

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Solution

The fourth proportional to 605,125.05, 907,786.08 and 178,704 is: 268,085.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,125.05 : 907,786.08 = 178,704 : x
  2. Step 2: Convert to fraction form
    605,125.05/907,786.08 = 178,704/x
  3. Step 3: Cross multiply
    605,125.05x = 907,786.08 × 178,704
  4. Step 4: Simplify right side
    605,125.05x = 162,225,003,640.32
  5. Step 5: Solve for x
    x = 162,225,003,640.32/605,125.05
  6. Step 6: Final answer
    x = 268,085.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.