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Finding the Fourth Proportional to 277,578.60, 416,324.70 and 77,879.40

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Solution

The fourth proportional to 277,578.60, 416,324.70 and 77,879.40 is: 116,806.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,578.60 : 416,324.70 = 77,879.40 : x
  2. Step 2: Convert to fraction form
    277,578.60/416,324.70 = 77,879.40/x
  3. Step 3: Cross multiply
    277,578.60x = 416,324.70 × 77,879.40
  4. Step 4: Simplify right side
    277,578.60x = 32,423,117,841.18
  5. Step 5: Solve for x
    x = 32,423,117,841.18/277,578.60
  6. Step 6: Final answer
    x = 116,806.98

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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.