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Finding the Fourth Proportional to 219,274.94, 302,608.11 and 123,784.94

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Solution

The fourth proportional to 219,274.94, 302,608.11 and 123,784.94 is: 170,828.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,274.94 : 302,608.11 = 123,784.94 : x
  2. Step 2: Convert to fraction form
    219,274.94/302,608.11 = 123,784.94/x
  3. Step 3: Cross multiply
    219,274.94x = 302,608.11 × 123,784.94
  4. Step 4: Simplify right side
    219,274.94x = 37,458,326,739.86
  5. Step 5: Solve for x
    x = 37,458,326,739.86/219,274.94
  6. Step 6: Final answer
    x = 170,828.12

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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.