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Finding the Fourth Proportional to 229,379.78, 316,416.49 and 213,142.68

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Solution

The fourth proportional to 229,379.78, 316,416.49 and 213,142.68 is: 294,018.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,379.78 : 316,416.49 = 213,142.68 : x
  2. Step 2: Convert to fraction form
    229,379.78/316,416.49 = 213,142.68/x
  3. Step 3: Cross multiply
    229,379.78x = 316,416.49 × 213,142.68
  4. Step 4: Simplify right side
    229,379.78x = 67,441,858,141.94
  5. Step 5: Solve for x
    x = 67,441,858,141.94/229,379.78
  6. Step 6: Final answer
    x = 294,018.32

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1.5x scale

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.