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Finding the Fourth Proportional to 382,610.82, 528,000.44 and 210,539.28

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Solution

The fourth proportional to 382,610.82, 528,000.44 and 210,539.28 is: 290,542.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,610.82 : 528,000.44 = 210,539.28 : x
  2. Step 2: Convert to fraction form
    382,610.82/528,000.44 = 210,539.28/x
  3. Step 3: Cross multiply
    382,610.82x = 528,000.44 × 210,539.28
  4. Step 4: Simplify right side
    382,610.82x = 111,164,832,477.28
  5. Step 5: Solve for x
    x = 111,164,832,477.28/382,610.82
  6. Step 6: Final answer
    x = 290,542.84

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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.