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Finding the Fourth Proportional to 905,665, 1,358,704.86 and 314,689

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Solution

The fourth proportional to 905,665, 1,358,704.86 and 314,689 is: 472,105.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,665 : 1,358,704.86 = 314,689 : x
  2. Step 2: Convert to fraction form
    905,665/1,358,704.86 = 314,689/x
  3. Step 3: Cross multiply
    905,665x = 1,358,704.86 × 314,689
  4. Step 4: Simplify right side
    905,665x = 427,569,473,688.54
  5. Step 5: Solve for x
    x = 427,569,473,688.54/905,665
  6. Step 6: Final answer
    x = 472,105.55

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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.