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Finding the Fourth Proportional to 277,640.34, 416,485.92 and 77,959.38

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Solution

The fourth proportional to 277,640.34, 416,485.92 and 77,959.38 is: 116,946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,640.34 : 416,485.92 = 77,959.38 : x
  2. Step 2: Convert to fraction form
    277,640.34/416,485.92 = 77,959.38/x
  3. Step 3: Cross multiply
    277,640.34x = 416,485.92 × 77,959.38
  4. Step 4: Simplify right side
    277,640.34x = 32,468,984,101.93
  5. Step 5: Solve for x
    x = 32,468,984,101.93/277,640.34
  6. Step 6: Final answer
    x = 116,946.20

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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.