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Finding the Fourth Proportional to 277,661.20, 416,686.20 and 120,002.80

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Solution

The fourth proportional to 277,661.20, 416,686.20 and 120,002.80 is: 180,088.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,661.20 : 416,686.20 = 120,002.80 : x
  2. Step 2: Convert to fraction form
    277,661.20/416,686.20 = 120,002.80/x
  3. Step 3: Cross multiply
    277,661.20x = 416,686.20 × 120,002.80
  4. Step 4: Simplify right side
    277,661.20x = 50,003,510,721.36
  5. Step 5: Solve for x
    x = 50,003,510,721.36/277,661.20
  6. Step 6: Final answer
    x = 180,088.22

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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.