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Finding the Fourth Proportional to 905,667, 1,358,707.86 and 314,691

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Solution

The fourth proportional to 905,667, 1,358,707.86 and 314,691 is: 472,108.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,667 : 1,358,707.86 = 314,691 : x
  2. Step 2: Convert to fraction form
    905,667/1,358,707.86 = 314,691/x
  3. Step 3: Cross multiply
    905,667x = 1,358,707.86 × 314,691
  4. Step 4: Simplify right side
    905,667x = 427,573,135,171.26
  5. Step 5: Solve for x
    x = 427,573,135,171.26/905,667
  6. Step 6: Final answer
    x = 472,108.55

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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.