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Finding the Fourth Proportional to 219,000, 302,220.41 and 118,398

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Solution

The fourth proportional to 219,000, 302,220.41 and 118,398 is: 163,389.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,000 : 302,220.41 = 118,398 : x
  2. Step 2: Convert to fraction form
    219,000/302,220.41 = 118,398/x
  3. Step 3: Cross multiply
    219,000x = 302,220.41 × 118,398
  4. Step 4: Simplify right side
    219,000x = 35,782,292,103.18
  5. Step 5: Solve for x
    x = 35,782,292,103.18/219,000
  6. Step 6: Final answer
    x = 163,389.46

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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.