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Finding the Fourth Proportional to 289,902.56, 400,069.60 and 175,165.28

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Solution

The fourth proportional to 289,902.56, 400,069.60 and 175,165.28 is: 241,730.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,902.56 : 400,069.60 = 175,165.28 : x
  2. Step 2: Convert to fraction form
    289,902.56/400,069.60 = 175,165.28/x
  3. Step 3: Cross multiply
    289,902.56x = 400,069.60 × 175,165.28
  4. Step 4: Simplify right side
    289,902.56x = 70,078,303,503.49
  5. Step 5: Solve for x
    x = 70,078,303,503.49/289,902.56
  6. Step 6: Final answer
    x = 241,730.54

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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.