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Finding the Fourth Proportional to 277,813.98, 416,760.70 and 85,704.66

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Solution

The fourth proportional to 277,813.98, 416,760.70 and 85,704.66 is: 128,569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,813.98 : 416,760.70 = 85,704.66 : x
  2. Step 2: Convert to fraction form
    277,813.98/416,760.70 = 85,704.66/x
  3. Step 3: Cross multiply
    277,813.98x = 416,760.70 × 85,704.66
  4. Step 4: Simplify right side
    277,813.98x = 35,718,334,094.86
  5. Step 5: Solve for x
    x = 35,718,334,094.86/277,813.98
  6. Step 6: Final answer
    x = 128,569.25

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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.