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Finding the Fourth Proportional to 398,090.82, 549,361.50 and 216,805.78

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Solution

The fourth proportional to 398,090.82, 549,361.50 and 216,805.78 is: 299,189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,090.82 : 549,361.50 = 216,805.78 : x
  2. Step 2: Convert to fraction form
    398,090.82/549,361.50 = 216,805.78/x
  3. Step 3: Cross multiply
    398,090.82x = 549,361.50 × 216,805.78
  4. Step 4: Simplify right side
    398,090.82x = 119,104,745,762.66
  5. Step 5: Solve for x
    x = 119,104,745,762.66/398,090.82
  6. Step 6: Final answer
    x = 299,189.88

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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.