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Finding the Fourth Proportional to 316,751.44, 475,214.64 and 281,934.40

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Solution

The fourth proportional to 316,751.44, 475,214.64 and 281,934.40 is: 422,979.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,751.44 : 475,214.64 = 281,934.40 : x
  2. Step 2: Convert to fraction form
    316,751.44/475,214.64 = 281,934.40/x
  3. Step 3: Cross multiply
    316,751.44x = 475,214.64 × 281,934.40
  4. Step 4: Simplify right side
    316,751.44x = 133,979,354,399.62
  5. Step 5: Solve for x
    x = 133,979,354,399.62/316,751.44
  6. Step 6: Final answer
    x = 422,979.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.