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Finding the Fourth Proportional to 277,540.52, 416,350.07 and 85,430.80

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Solution

The fourth proportional to 277,540.52, 416,350.07 and 85,430.80 is: 128,158.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,540.52 : 416,350.07 = 85,430.80 : x
  2. Step 2: Convert to fraction form
    277,540.52/416,350.07 = 85,430.80/x
  3. Step 3: Cross multiply
    277,540.52x = 416,350.07 × 85,430.80
  4. Step 4: Simplify right side
    277,540.52x = 35,569,118,732.86
  5. Step 5: Solve for x
    x = 35,569,118,732.86/277,540.52
  6. Step 6: Final answer
    x = 128,158.29

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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.