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Finding the Fourth Proportional to 318,978.12, 440,098.47 and 189,808.64

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Solution

The fourth proportional to 318,978.12, 440,098.47 and 189,808.64 is: 261,881.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,978.12 : 440,098.47 = 189,808.64 : x
  2. Step 2: Convert to fraction form
    318,978.12/440,098.47 = 189,808.64/x
  3. Step 3: Cross multiply
    318,978.12x = 440,098.47 × 189,808.64
  4. Step 4: Simplify right side
    318,978.12x = 83,534,489,856.29
  5. Step 5: Solve for x
    x = 83,534,489,856.29/318,978.12
  6. Step 6: Final answer
    x = 261,881.57

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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.