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Finding the Fourth Proportional to 277,574, 416,372.52 and 80,582

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Solution

The fourth proportional to 277,574, 416,372.52 and 80,582 is: 120,876.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,574 : 416,372.52 = 80,582 : x
  2. Step 2: Convert to fraction form
    277,574/416,372.52 = 80,582/x
  3. Step 3: Cross multiply
    277,574x = 416,372.52 × 80,582
  4. Step 4: Simplify right side
    277,574x = 33,552,130,406.64
  5. Step 5: Solve for x
    x = 33,552,130,406.64/277,574
  6. Step 6: Final answer
    x = 120,876.34

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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.