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Finding the Fourth Proportional to 613,975.32, 847,286.42 and 342,043.86

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Solution

The fourth proportional to 613,975.32, 847,286.42 and 342,043.86 is: 472,020.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,975.32 : 847,286.42 = 342,043.86 : x
  2. Step 2: Convert to fraction form
    613,975.32/847,286.42 = 342,043.86/x
  3. Step 3: Cross multiply
    613,975.32x = 847,286.42 × 342,043.86
  4. Step 4: Simplify right side
    613,975.32x = 289,809,115,300.17
  5. Step 5: Solve for x
    x = 289,809,115,300.17/613,975.32
  6. Step 6: Final answer
    x = 472,020.79

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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.