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Finding the Fourth Proportional to 312,678.96, 431,495.28 and 169,435.32

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Solution

The fourth proportional to 312,678.96, 431,495.28 and 169,435.32 is: 233,819.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,678.96 : 431,495.28 = 169,435.32 : x
  2. Step 2: Convert to fraction form
    312,678.96/431,495.28 = 169,435.32/x
  3. Step 3: Cross multiply
    312,678.96x = 431,495.28 × 169,435.32
  4. Step 4: Simplify right side
    312,678.96x = 73,110,540,845.29
  5. Step 5: Solve for x
    x = 73,110,540,845.29/312,678.96
  6. Step 6: Final answer
    x = 233,819.83

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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.