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Finding the Fourth Proportional to 275,509, 413,332.86 and 78,517

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Solution

The fourth proportional to 275,509, 413,332.86 and 78,517 is: 117,795.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,509 : 413,332.86 = 78,517 : x
  2. Step 2: Convert to fraction form
    275,509/413,332.86 = 78,517/x
  3. Step 3: Cross multiply
    275,509x = 413,332.86 × 78,517
  4. Step 4: Simplify right side
    275,509x = 32,453,656,168.62
  5. Step 5: Solve for x
    x = 32,453,656,168.62/275,509
  6. Step 6: Final answer
    x = 117,795.27

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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.