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Finding the Fourth Proportional to 389,053.54, 536,897.97 and 219,287.67

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Solution

The fourth proportional to 389,053.54, 536,897.97 and 219,287.67 is: 302,619.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,053.54 : 536,897.97 = 219,287.67 : x
  2. Step 2: Convert to fraction form
    389,053.54/536,897.97 = 219,287.67/x
  3. Step 3: Cross multiply
    389,053.54x = 536,897.97 × 219,287.67
  4. Step 4: Simplify right side
    389,053.54x = 117,735,104,869.03
  5. Step 5: Solve for x
    x = 117,735,104,869.03/389,053.54
  6. Step 6: Final answer
    x = 302,619.29

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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.