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Finding the Fourth Proportional to 270,603.18, 405,999.54 and 83,614.68

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Solution

The fourth proportional to 270,603.18, 405,999.54 and 83,614.68 is: 125,451.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,603.18 : 405,999.54 = 83,614.68 : x
  2. Step 2: Convert to fraction form
    270,603.18/405,999.54 = 83,614.68/x
  3. Step 3: Cross multiply
    270,603.18x = 405,999.54 × 83,614.68
  4. Step 4: Simplify right side
    270,603.18x = 33,947,521,617.25
  5. Step 5: Solve for x
    x = 33,947,521,617.25/270,603.18
  6. Step 6: Final answer
    x = 125,451.30

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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.