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Finding the Fourth Proportional to 274,001, 411,001.50 and 77,009

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Solution

The fourth proportional to 274,001, 411,001.50 and 77,009 is: 115,513.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,001 : 411,001.50 = 77,009 : x
  2. Step 2: Convert to fraction form
    274,001/411,001.50 = 77,009/x
  3. Step 3: Cross multiply
    274,001x = 411,001.50 × 77,009
  4. Step 4: Simplify right side
    274,001x = 31,650,814,513.50
  5. Step 5: Solve for x
    x = 31,650,814,513.50/274,001
  6. Step 6: Final answer
    x = 115,513.50

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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.