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Finding the Fourth Proportional to 382,988.34, 528,617.00 and 221,817.38

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Solution

The fourth proportional to 382,988.34, 528,617.00 and 221,817.38 is: 306,161.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,988.34 : 528,617.00 = 221,817.38 : x
  2. Step 2: Convert to fraction form
    382,988.34/528,617.00 = 221,817.38/x
  3. Step 3: Cross multiply
    382,988.34x = 528,617.00 × 221,817.38
  4. Step 4: Simplify right side
    382,988.34x = 117,256,435,874.92
  5. Step 5: Solve for x
    x = 117,256,435,874.92/382,988.34
  6. Step 6: Final answer
    x = 306,161.89

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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.