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Finding the Fourth Proportional to 610,772.69, 842,516.12 and 380,930.94

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Solution

The fourth proportional to 610,772.69, 842,516.12 and 380,930.94 is: 525,466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,772.69 : 842,516.12 = 380,930.94 : x
  2. Step 2: Convert to fraction form
    610,772.69/842,516.12 = 380,930.94/x
  3. Step 3: Cross multiply
    610,772.69x = 842,516.12 × 380,930.94
  4. Step 4: Simplify right side
    610,772.69x = 320,940,451,439.52
  5. Step 5: Solve for x
    x = 320,940,451,439.52/610,772.69
  6. Step 6: Final answer
    x = 525,466.28

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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.