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Finding the Fourth Proportional to 277,572, 416,369.52 and 80,580

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Solution

The fourth proportional to 277,572, 416,369.52 and 80,580 is: 120,873.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,572 : 416,369.52 = 80,580 : x
  2. Step 2: Convert to fraction form
    277,572/416,369.52 = 80,580/x
  3. Step 3: Cross multiply
    277,572x = 416,369.52 × 80,580
  4. Step 4: Simplify right side
    277,572x = 33,551,055,921.60
  5. Step 5: Solve for x
    x = 33,551,055,921.60/277,572
  6. Step 6: Final answer
    x = 120,873.34

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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.