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Finding the Fourth Proportional to 268,978.08, 403,527.60 and 82,008.48

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Solution

The fourth proportional to 268,978.08, 403,527.60 and 82,008.48 is: 123,031.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,978.08 : 403,527.60 = 82,008.48 : x
  2. Step 2: Convert to fraction form
    268,978.08/403,527.60 = 82,008.48/x
  3. Step 3: Cross multiply
    268,978.08x = 403,527.60 × 82,008.48
  4. Step 4: Simplify right side
    268,978.08x = 33,092,685,114.05
  5. Step 5: Solve for x
    x = 33,092,685,114.05/268,978.08
  6. Step 6: Final answer
    x = 123,031.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.