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Finding the Fourth Proportional to 219,459, 302,853.44 and 118,857

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Solution

The fourth proportional to 219,459, 302,853.44 and 118,857 is: 164,022.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,459 : 302,853.44 = 118,857 : x
  2. Step 2: Convert to fraction form
    219,459/302,853.44 = 118,857/x
  3. Step 3: Cross multiply
    219,459x = 302,853.44 × 118,857
  4. Step 4: Simplify right side
    219,459x = 35,996,251,318.08
  5. Step 5: Solve for x
    x = 35,996,251,318.08/219,459
  6. Step 6: Final answer
    x = 164,022.67

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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.