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Finding the Fourth Proportional to 277,489.52, 416,187.32 and 77,763.94

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Solution

The fourth proportional to 277,489.52, 416,187.32 and 77,763.94 is: 116,632.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,489.52 : 416,187.32 = 77,763.94 : x
  2. Step 2: Convert to fraction form
    277,489.52/416,187.32 = 77,763.94/x
  3. Step 3: Cross multiply
    277,489.52x = 416,187.32 × 77,763.94
  4. Step 4: Simplify right side
    277,489.52x = 32,364,365,781.24
  5. Step 5: Solve for x
    x = 32,364,365,781.24/277,489.52
  6. Step 6: Final answer
    x = 116,632.75

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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.