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Finding the Fourth Proportional to 387,668.64, 534,904.32 and 226,492.56

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Solution

The fourth proportional to 387,668.64, 534,904.32 and 226,492.56 is: 312,513.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,668.64 : 534,904.32 = 226,492.56 : x
  2. Step 2: Convert to fraction form
    387,668.64/534,904.32 = 226,492.56/x
  3. Step 3: Cross multiply
    387,668.64x = 534,904.32 × 226,492.56
  4. Step 4: Simplify right side
    387,668.64x = 121,151,848,791.86
  5. Step 5: Solve for x
    x = 121,151,848,791.86/387,668.64
  6. Step 6: Final answer
    x = 312,513.93

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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.