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Finding the Fourth Proportional to 382,693.96, 528,109.50 and 221,555.80

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Solution

The fourth proportional to 382,693.96, 528,109.50 and 221,555.80 is: 305,742.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,693.96 : 528,109.50 = 221,555.80 : x
  2. Step 2: Convert to fraction form
    382,693.96/528,109.50 = 221,555.80/x
  3. Step 3: Cross multiply
    382,693.96x = 528,109.50 × 221,555.80
  4. Step 4: Simplify right side
    382,693.96x = 117,005,722,760.10
  5. Step 5: Solve for x
    x = 117,005,722,760.10/382,693.96
  6. Step 6: Final answer
    x = 305,742.28

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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.