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Finding the Fourth Proportional to 277,384.80, 416,077.20 and 137,416.80

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Solution

The fourth proportional to 277,384.80, 416,077.20 and 137,416.80 is: 206,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,384.80 : 416,077.20 = 137,416.80 : x
  2. Step 2: Convert to fraction form
    277,384.80/416,077.20 = 137,416.80/x
  3. Step 3: Cross multiply
    277,384.80x = 416,077.20 × 137,416.80
  4. Step 4: Simplify right side
    277,384.80x = 57,175,997,376.96
  5. Step 5: Solve for x
    x = 57,175,997,376.96/277,384.80
  6. Step 6: Final answer
    x = 206,125.20

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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.