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Finding the Fourth Proportional to 211,732.64, 318,866.48 and 192,836.96

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Solution

The fourth proportional to 211,732.64, 318,866.48 and 192,836.96 is: 290,409.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,732.64 : 318,866.48 = 192,836.96 : x
  2. Step 2: Convert to fraction form
    211,732.64/318,866.48 = 192,836.96/x
  3. Step 3: Cross multiply
    211,732.64x = 318,866.48 × 192,836.96
  4. Step 4: Simplify right side
    211,732.64x = 61,489,242,649.10
  5. Step 5: Solve for x
    x = 61,489,242,649.10/211,732.64
  6. Step 6: Final answer
    x = 290,409.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.