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Finding the Fourth Proportional to 410,997, 616,495.50 and 115,509

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Solution

The fourth proportional to 410,997, 616,495.50 and 115,509 is: 173,263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,997 : 616,495.50 = 115,509 : x
  2. Step 2: Convert to fraction form
    410,997/616,495.50 = 115,509/x
  3. Step 3: Cross multiply
    410,997x = 616,495.50 × 115,509
  4. Step 4: Simplify right side
    410,997x = 71,210,778,709.50
  5. Step 5: Solve for x
    x = 71,210,778,709.50/410,997
  6. Step 6: Final answer
    x = 173,263.50

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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.