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Finding the Fourth Proportional to 219,489.36, 302,910.54 and 133,482

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Solution

The fourth proportional to 219,489.36, 302,910.54 and 133,482 is: 184,214.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,489.36 : 302,910.54 = 133,482 : x
  2. Step 2: Convert to fraction form
    219,489.36/302,910.54 = 133,482/x
  3. Step 3: Cross multiply
    219,489.36x = 302,910.54 × 133,482
  4. Step 4: Simplify right side
    219,489.36x = 40,433,104,700.28
  5. Step 5: Solve for x
    x = 40,433,104,700.28/219,489.36
  6. Step 6: Final answer
    x = 184,214.42

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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.